* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Setting MPFR precision to 832 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ x 1)) (/ 1 (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ x 1)) (/ 1 (- x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ x 1)) (/ 1 (- x 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 4)) (+ (* 2 (pow x 2)) 2)) into (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 0 1)) (* -1 (/ 0 1)) (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 6)) (+ (* -2 (pow (/ 1 x) 4)) (* -2 (pow (/ 1 x) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ (/ 1 (- x)) 1)) (/ 1 (- (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ (/ 1 (- x)) 1)) (/ 1 (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ (/ 1 (- x)) 1)) (/ 1 (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1 -1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ 0 -1)) (* -1 (/ -1 -1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ -1 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ 0 -1)) (* -1 (/ 0 -1)) (* 1 (/ 0 -1)) (* -1 (/ -1 -1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 6)) (+ (* -2 (pow (/ 1 (- x)) 4)) (* -2 (pow (/ 1 (- x)) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ 1 (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (pow x 2) 1) x) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* -1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ 1 (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* -1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (/ 1 (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x 1)) in x * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* -1 (/ 1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow x 2)) (+ (* -1 x) -1)) into (- (+ x (+ (pow x 2) 1))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 1 (/ -1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* 1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ -1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 1 (/ -1 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* 1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (+ x 1))) (exp (/ 1 (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (+ x 1)) (/ 1 (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (exp (- (/ 1 (+ x 1)) (/ 1 (- x 1)))))) * * * * [misc]progress: [ 2 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (- x 1)) (* (+ x 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (282 enodes) * [exit]simplify: Simplified to (- (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (+ 1 1)) (* (+ x 1) (- x 1)))) * [enter]simplify: Simplifying (* (+ x 1) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (+ 1 x) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (- (+ 1 1)) (* (+ 1 x) (- x 1)))) * * * * [misc]progress: [ 9 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ 1 (- x 1))) (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (sqrt (/ 1 (- x 1))) (sqrt (/ 1 (+ x 1)))) (- (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))) (- (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (- x 1)))))) * * * * [misc]progress: [ 14 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ x 1)) (/ 1 (- x 1))))) * * * * [misc]progress: [ 15 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ x 1)) (/ 1 (- x 1))))) * * * * [misc]progress: [ 16 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ x 1)) (/ 1 (- x 1))))) * * * * [misc]progress: [ 17 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ 1 (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (- (/ 1 (+ x 1)) (/ 1 (- x 1))))) * * * * [misc]progress: [ 18 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ 1 (- (* x x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (- (* x x) 1)) (- (- x 1) (+ x 1)))) * [enter]simplify: Simplifying (- (- x 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (- (- 0 1) 1) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (- (* x x) 1)) (- (- 0 1) 1))) * * * * [misc]progress: [ 19 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (pow (+ x 1) (- 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 22 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 34 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 (sqrt (+ x 1))) (sqrt (+ 1 x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 35 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (/ (/ 1 1) (+ 1 x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 36 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 37 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (- (* (/ 1 (- (* x x) (* 1 1))) (- x 1)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 38 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (pow (- x 1) (- 1)))) * * * * [misc]progress: [ 40 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 64 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 52 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 (sqrt (- x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 53 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (/ (/ 1 1) (- x 1)))) * * * * [misc]progress: [ 54 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (* (/ 1 (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x))))) * * * * [misc]progress: [ 55 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2 2) to (λ (x) (- (/ 1 (+ x 1)) (* (/ 1 (- (* x x) (* 1 1))) (+ 1 x)))) * * * * [misc]progress: [ 56 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ 2 (* 2 (+ (pow x 4) (* x x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ 2 (* 2 (+ (pow x 4) (* x x))))) * * * * [misc]progress: [ 57 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * * [misc]progress: [ 58 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * * [misc]progress: [ 59 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (- 1 x) (* x x)) (/ 1 (- x 1)))) * * * * [misc]progress: [ 60 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 61 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ 1 (- x 1)))) * * * * [misc]progress: [ 62 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (+ (pow x 2) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (- (- (- 1) x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (- (- (- 1) x) (* x x)))) * * * * [misc]progress: [ 63 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * * [misc]progress: [ 64 / 64 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 (pow x 3)) (+ (/ 1 (pow x 2)) (/ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)) * [misc]simplify: Simplified (2 2) to (λ (x) (- (/ 1 (+ x 1)) (+ (+ (/ 1 x) (/ (/ 1 x) (* x x))) (/ (/ 1 x) x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 1 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 1 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ x 1) (- x 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ x 1) (- x 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ x 1) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ x 1) (- x 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ x 1) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* 1 -1) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 1 -1)) (* 0 (/ 0 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 0 (/ 1 -1)) (* 2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 2 (/ 1 -1)) (* 0 (/ 0 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 4)) (+ (* 2 (pow x 2)) 2)) into (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 x) 1) (- (/ 1 x) 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 x) 1) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* 1 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 -1) (* 0 1))) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ -1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ -1 1)) (* -2 (/ 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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ -1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 6)) (+ (* -2 (pow (/ 1 x) 4)) (* -2 (pow (/ 1 x) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 (- x)) 1) (- (/ 1 (- x)) 1))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 (- x)) 1) (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) 1) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (* (+ (/ 1 (- x)) 1) (- (/ 1 (- x)) 1))) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (+ (/ 1 (- x)) 1) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* -1 -1) (* 1 -1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 -1) (* 0 -1))) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ -1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 -1) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ -1 1)) (* -2 (/ 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 -1) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ -1 1)) (* 0 (/ 0 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 6)) (+ (* -2 (pow (/ 1 (- x)) 4)) (* -2 (pow (/ 1 (- x)) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ 1 1))) (+ (log (+ x 1)) (log (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (log (- (- 1) 1)) (+ (log (- x 1)) (log (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- (- 1) 1)) (+ (log (- x 1)) (log (+ 1 x)))))) * * * * [misc]progress: [ 3 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ 1 1))) (log (* (+ x 1) (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (log (+ (- 1) (- 1))) (log (* (- x 1) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (+ (- 1) (- 1))) (log (* (- x 1) (+ x 1)))))) * * * * [misc]progress: [ 4 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ 1 1)) (- (+ 1 1))) (- (+ 1 1))) (* (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- x 1) (- x 1)) (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (239 enodes) * [exit]simplify: Simplified to (* (/ (- (+ 1 1)) (pow (- x 1) 3)) (/ (+ (+ 1 1) (+ 1 1)) (pow (+ x 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (- (+ 1 1)) (pow (- x 1) 3)) (/ (+ (+ 1 1) (+ 1 1)) (pow (+ x 1) 3))))) * * * * [misc]progress: [ 7 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ 1 1)) (- (+ 1 1))) (- (+ 1 1))) (* (* (* (+ x 1) (- x 1)) (* (+ x 1) (- x 1))) (* (+ x 1) (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (220 enodes) * [exit]simplify: Simplified to (pow (/ (- (+ 1 1)) (* (- x 1) (+ x 1))) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (- (+ 1 1)) (* (- x 1) (+ x 1))) 3))) * * * * [misc]progress: [ 8 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (* (+ x 1) (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (x) (- 0 (/ (+ 1 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 13 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (+ x 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (- 1) 1)) (+ x 1)) (cbrt (- (- 1) 1))) (/ (cbrt (- (+ 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (- (+ 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (+ x 1)) (/ (cbrt (- (- 1) 1)) (- x 1)))) * * * * [misc]progress: [ 14 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (+ 1 x)) (/ (sqrt (- (+ 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (+ 1 1))) (+ x 1)) (/ (sqrt (- (- 1) 1)) (- x 1)))) * * * * [misc]progress: [ 15 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ x 1)) (/ (- (+ 1 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (- x 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (- x 1)) (/ (- 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ x 1)) (+ (/ (- 1) (- x 1)) (/ (- 1) (- x 1))))) * * * * [misc]progress: [ 16 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ -1 (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (+ x 1)) (/ (+ 1 1) (- x 1)))) * [enter]simplify: Simplifying (/ (+ 1 1) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (+ x 1)) (/ (+ 1 1) (- x 1)))) * * * * [misc]progress: [ 17 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 1)) (- x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) (/ (cbrt (+ 1 1)) (- x 1)))) * * * * [misc]progress: [ 18 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (+ 1 x))) (/ (sqrt (+ 1 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (- x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (+ x 1)) (/ (sqrt (+ 1 1)) (- x 1)))) * * * * [misc]progress: [ 19 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ (- 1) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (+ 1 x)) (/ (+ 1 1) (- x 1)))) * [enter]simplify: Simplifying (/ (+ 1 1) (- x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (+ x 1)) (/ (+ 1 1) (- x 1)))) * * * * [misc]progress: [ 20 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (/ (+ 1 x) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (+ 1 1)) (/ (+ 1 x) (cbrt (+ 1 1)))) (/ (- (cbrt (+ 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (- (cbrt (+ 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ 1 1)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (+ x 1)) (- (/ (cbrt (+ 1 1)) (- x 1))))) * * * * [misc]progress: [ 21 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (- (sqrt (+ 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1))))) * * * * [misc]progress: [ 22 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ x 1)) (/ (- (+ 1 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (- x 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (+ (/ (- 1) (- x 1)) (/ (- 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ x 1)) (+ (/ (- 1) (- x 1)) (/ (- 1) (- x 1))))) * * * * [misc]progress: [ 23 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 1) (* (+ x 1) (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ (+ 1 1) (* (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 27 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1))) * * * * [misc]progress: [ 28 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (* (+ x 1) (- x 1)) (cbrt (- (+ 1 1)))))) * * * * [misc]progress: [ 29 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (- 1) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ (- 1) (- 1))) (/ (* (+ x 1) (- x 1)) (sqrt (- (+ 1 1)))))) * * * * [misc]progress: [ 30 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (* (+ x 1) (- x 1)) (cbrt (+ 1 1))))) * * * * [misc]progress: [ 33 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (* (+ x 1) (- x 1)) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 34 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1) (/ (* (+ x 1) (- x 1)) (+ 1 1)))) * * * * [misc]progress: [ 35 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (* (+ x 1) (- x 1)) (- (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 36 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (- x 1)) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 37 / 50 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* x x) (- (* 1 1) (* x 1))) (+ (* x x) (+ (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (308 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (+ x 1)) (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (+ (pow x 3) (pow 1 3)) (- (pow x 3) (pow 1 3)))) (* (+ (* x x) (+ x 1)) (+ (* x x) (- 1 x))))) * * * * [misc]progress: [ 39 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* x x) (- (* 1 1) (* x 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (+ (pow x 3) (pow 1 3)) (- (* x x) (* 1 1)))) (* (+ x 1) (+ (* x x) (- 1 x))))) * * * * [misc]progress: [ 40 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) (+ (* x x) (+ (* 1 1) (* x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (214 enodes) * [exit]simplify: Simplified to (* (+ (+ 1 x) (* x x)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (- (* x x) (* 1 1)) (- (pow x 3) (pow 1 3)))) (* (+ (+ 1 x) (* x x)) (- x 1)))) * * * * [misc]progress: [ 41 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (* (- x 1) (+ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (- (* x x) (* 1 1)) (- (* x x) (* 1 1)))) (* (- x 1) (+ 1 x)))) * * * * [misc]progress: [ 42 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (+ x 1) (- (pow x 3) (pow 1 3)))) (+ (* x x) (+ 1 x)))) * * * * [misc]progress: [ 43 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (+ x 1) (- (* x x) (* 1 1)))) (+ 1 x))) * * * * [misc]progress: [ 44 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (+ (pow x 3) (pow 1 3)) (- x 1))) (+ (- 1 x) (* x x)))) * * * * [misc]progress: [ 45 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (- (* x x) (* 1 1)) (- x 1))) (- x 1))) * * * * [misc]progress: [ 46 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow 1 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (- 1) (- 1)) (* (* (+ x 1) (- x 1)) (+ (* 1 1) (- (* 1 1) (* 1 1)))))) * * * * [misc]progress: [ 47 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* 1 1) (* 1 1))) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (- 0) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 0) (* (* (+ x 1) (- x 1)) (- 1 1)))) * * * * [misc]progress: [ 48 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ 2 (* 2 (+ (pow x 4) (* x x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ 2 (* 2 (+ (pow x 4) (* x x))))) * * * * [misc]progress: [ 49 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * * [misc]progress: [ 50 / 50 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* 2 (/ 1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -2 -1) (+ (* 2 (/ 0 -1)) (* 0 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* 2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 2 (/ 1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -2 -1) (+ (* 2 (/ 0 -1)) (* 0 (/ 0 -1)) (* 2 (/ 0 -1)) (* 0 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 4)) (+ (* 2 (pow x 2)) 2)) into (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * [misc]approximate: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 x) 1)) (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 x) 1)) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 x) 1)) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* -2 (/ -1 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -2 1) (+ (* -2 (/ 0 1)) (* 0 (/ -1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ -1 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -2 1) (+ (* -2 (/ 0 1)) (* 0 (/ 0 1)) (* -2 (/ 0 1)) (* 0 (/ -1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 6)) (+ (* -2 (pow (/ 1 x) 4)) (* -2 (pow (/ 1 x) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 2 -1) into -2 * [misc]taylor: Taking taylor expansion of (/ (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ 2 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* -2 (/ -1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* -2 (/ 0 -1)) (* 0 (/ -1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 2 (/ 0 -1)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* -2 (/ 0 -1)) (* 0 (/ 0 -1)) (* -2 (/ -1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 2 (/ 0 -1)) (* 2 (/ 0 -1)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 2 -1) (+ (* -2 (/ 0 -1)) (* 0 (/ 0 -1)) (* -2 (/ 0 -1)) (* 0 (/ -1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 6)) (+ (* -2 (pow (/ 1 (- x)) 4)) (* -2 (pow (/ 1 (- x)) 2)))) into (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * * * [misc]progress: [ 2 / 2 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (+ x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ x 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow x 2)) (+ (* 2 x) -2)) into (- (* 2 x) (+ (* 2 (pow x 2)) 2)) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -2 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 3)) (+ (* 2 (pow (/ 1 x) 2)) (* -2 (/ 1 x)))) into (- (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))) * [misc]approximate: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]taylor: Taking taylor expansion of (/ (- (+ 1 1)) (+ (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (- (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- 2) into -2 * [misc]backup-simplify: Simplify (/ -2 -1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 2 (/ 0 -1)) (* 2 (/ 1 -1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow (/ 1 (- x)) 3)) (+ (* 2 (pow (/ 1 (- x)) 2)) (* 2 (/ 1 (- x))))) into (- (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- (+ 1 1))) (log (+ x 1))) (log (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (log (- (- 1) 1)) (+ (log (- x 1)) (log (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- (- 1) 1)) (+ (log (- x 1)) (log (+ 1 x)))))) * * * * [misc]progress: [ 3 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- (+ 1 1)) (+ x 1))) (log (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (log (+ (- 1) (- 1))) (+ (log (- x 1)) (log (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (+ (- 1) (- 1))) (+ (log (- x 1)) (log (+ x 1)))))) * * * * [misc]progress: [ 4 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- (+ 1 1)) (- (+ 1 1))) (- (+ 1 1))) (* (* (+ x 1) (+ x 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (53 enodes) * * [misc]simplify: iters left: 4 (215 enodes) * [exit]simplify: Simplified to (/ (* (- (+ 1 1)) (+ (+ 1 1) (+ 1 1))) (* (pow (- x 1) 3) (pow (+ x 1) 3))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (* (- (+ 1 1)) (+ (+ 1 1) (+ 1 1))) (* (pow (- x 1) 3) (pow (+ x 1) 3))))) * * * * [misc]progress: [ 7 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- (+ 1 1)) (+ x 1)) (/ (- (+ 1 1)) (+ x 1))) (/ (- (+ 1 1)) (+ x 1))) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (131 enodes) * [exit]simplify: Simplified to (pow (/ (- (- 1) 1) (* (+ x 1) (- x 1))) 3) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (pow (/ (- (- 1) 1) (* (+ x 1) (- x 1))) 3))) * * * * [misc]progress: [ 8 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 0 (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1) to (λ (x) (- 0 (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 13 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))) (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))) (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1)))) (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 14 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1)))) (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (sqrt (- x 1))) (/ (cbrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 15 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (- x 1)))) * * * * [misc]progress: [ 16 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 17 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))) (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (sqrt (- x 1))) (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 18 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) 1) (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (- x 1)))) * * * * [misc]progress: [ 19 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (- 1) 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 20 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 21 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (- 1) (- 1))) (cbrt (+ x 1))) (/ (cbrt (+ (- 1) (- 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ (- 1) (- 1))) (cbrt (+ x 1))) (/ (cbrt (+ (- 1) (- 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 22 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ (- 1) (- 1))) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (+ (- 1) (- 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (+ (- 1) (- 1))) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (+ (- 1) (- 1))))) (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (- 1) 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 23 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (sqrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (- 1) 1)) (sqrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (sqrt (- x 1)))) (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (cbrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 24 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (- 1) (- 1))) (sqrt (+ x 1))) (cbrt (+ (- 1) (- 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ (- 1) (- 1))) (sqrt (+ x 1))) (cbrt (+ (- 1) (- 1)))) (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) 1) (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 25 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (cbrt (- x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (- 1) 1)) (cbrt (- x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (- x 1)))) (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (- 1) 1)) (cbrt (- x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (- x 1)))) (/ (cbrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 26 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ (- 1) (- 1))) (sqrt (- x 1))) (cbrt (+ (- 1) (- 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ (- 1) (- 1))) (sqrt (- x 1))) (cbrt (+ (- 1) (- 1)))) (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- 1) (- 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) (sqrt (- x 1))) (/ (cbrt (+ (- 1) (- 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 27 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (- (+ 1 1))) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (cbrt (+ (- 1) (- 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 28 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (- 1) 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 29 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 30 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 31 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (- 1) 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 32 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (sqrt (- (- 1) 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 33 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 34 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ (- 1) (- 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 35 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (sqrt (- x 1))) (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (- 1) 1)) (sqrt (- x 1))) (/ (sqrt (+ (- 1) (- 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 36 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (sqrt (- (- 1) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- (- 1) 1)) (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (- (+ 1 1))) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- (- 1) 1)) (/ (sqrt (+ (- 1) (- 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 37 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 38 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 39 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 40 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 41 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (sqrt (- x 1))) (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 42 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (- (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 43 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 44 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 45 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (* (- x 1) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (+ 1 1)) (* (- x 1) (+ x 1))))) * * * * [misc]progress: [ 46 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ -1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 47 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [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 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (/ (+ 1 1) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 48 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ 1 x))))) * * * * [misc]progress: [ 49 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (/ -1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 50 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ -1 (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (sqrt (+ x 1))) (sqrt (- x 1))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (sqrt (+ x 1))) (sqrt (- x 1))) (/ (/ (+ 1 1) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 51 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (sqrt (+ x 1))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (sqrt (+ x 1))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 52 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ 1 x)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ 1 x)) (cbrt (- x 1))))) * * * * [misc]progress: [ 53 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ 1 x)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (sqrt (- x 1))) (/ (/ (+ 1 1) (+ 1 x)) (sqrt (- x 1))))) * * * * [misc]progress: [ 54 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ -1 1) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (x) (* -1 (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* -1 (/ (+ 1 1) (* (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 55 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * * [misc]simplify: iters left: 2 (463 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (/ (cbrt (+ 1 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (/ (cbrt (+ 1 1)) (cbrt (- x 1))))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))))) * * * * [misc]progress: [ 56 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (246 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (- (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))))) * * * * [misc]progress: [ 57 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (- (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 58 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (329 enodes) * [exit]simplify: Simplified to (/ (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (- (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (- (cbrt (+ 1 1))))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))))) * * * * [misc]progress: [ 59 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 1)) (- (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (+ 1 1)) (- (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))))) * * * * [misc]progress: [ 60 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 61 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * [exit]simplify: Simplified to (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (cbrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 62 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) (/ (/ (cbrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 63 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (- (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (+ 1 1)) (- (cbrt (+ 1 1)))) (/ (/ (cbrt (+ 1 1)) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (+ 1 1)) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (- x 1) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ 1 1)) (- (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (* (- x 1) (+ x 1))))) * * * * [misc]progress: [ 64 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))))) * * * * [misc]progress: [ 65 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))))) * * * * [misc]progress: [ 66 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 67 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))))) * * * * [misc]progress: [ 68 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))))) * * * * [misc]progress: [ 69 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) 1) * * [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 (31 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 70 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 71 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 72 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ x 1))))) * * * * [misc]progress: [ 73 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 74 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (/ (+ 1 1) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 75 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (/ (+ 1 1) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ 1 x))))) * * * * [misc]progress: [ 76 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 77 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (- x 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (/ (+ 1 1) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 78 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ 1 x))))) * * * * [misc]progress: [ 79 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ 1 x)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ 1 x)) (cbrt (- x 1))))) * * * * [misc]progress: [ 80 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ 1 x)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ 1 x)) (sqrt (- x 1))))) * * * * [misc]progress: [ 81 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1) 1) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- 1) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- 1) (/ (+ 1 1) (* (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 82 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (296 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ 1 x))) (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ 1 x))) (/ (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ 1 x)))) (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 83 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (sqrt (- x 1))) (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 84 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (/ (- (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (- x 1))))) * * * * [misc]progress: [ 85 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (sqrt (+ 1 x))) (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 86 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (cbrt (+ 1 1)))) (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 87 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (/ (sqrt (+ 1 x)) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (+ 1 1)) (/ (sqrt (+ 1 x)) (cbrt (+ 1 1)))) (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (+ 1 x)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (+ 1 1)) (/ (sqrt (+ 1 x)) (cbrt (+ 1 1)))) (/ (- (cbrt (+ 1 1))) (* (sqrt (+ 1 x)) (- x 1))))) * * * * [misc]progress: [ 88 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))))) * * * * [misc]progress: [ 89 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (+ 1 1)) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ 1 1)) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1)))))) * * * * [misc]progress: [ 90 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (cbrt (+ 1 1))) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (- (/ (cbrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 91 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 92 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 93 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (- x 1))))) * * * * [misc]progress: [ 94 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 95 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 96 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (- x 1))))) * * * * [misc]progress: [ 97 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))))) * * * * [misc]progress: [ 98 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1)))))) * * * * [misc]progress: [ 99 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) 1) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (sqrt (+ 1 1))) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (- (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 100 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 101 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 102 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 103 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ (- 1) (- 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 104 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- x 1))) (sqrt (+ x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ x 1))) (sqrt (- x 1))) (/ (+ (- 1) (- 1)) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 105 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (- (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 106 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 107 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 108 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (* (- x 1) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (+ 1 1)) (* (- x 1) (+ x 1))))) * * * * [misc]progress: [ 109 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 110 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (- (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 111 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (* (- x 1) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (+ 1 1)) (* (- x 1) (+ x 1))))) * * * * [misc]progress: [ 112 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (- 1) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ 1 (+ x 1)) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ 1 (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 113 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (- 1) 1) (sqrt (- x 1))) (/ (/ 1 (+ x 1)) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (sqrt (- x 1))) (/ (/ 1 (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 114 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 1)) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (+ (- 1) (- 1)) (/ (/ 1 (+ x 1)) (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (181 enodes) * [exit]simplify: Simplified to (/ (/ 1 (- x 1)) (+ x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (+ (- 1) (- 1)) (/ (/ 1 (- x 1)) (+ x 1)))) * * * * [misc]progress: [ 115 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ (pow x 3) (pow 1 3))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (+ (pow x 3) 1))) (/ (+ (* x x) (- (* 1 1) (* x 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (+ (* x x) (- (* 1 1) (* x 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 x) (* x x)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (+ (pow x 3) 1))) (/ (+ (- 1 x) (* x x)) (cbrt (- x 1))))) * * * * [misc]progress: [ 116 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ (pow x 3) (pow 1 3))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (* (sqrt (- x 1)) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (+ 1 1)) (* (sqrt (- x 1)) (+ (pow x 3) 1))) (/ (+ (* x x) (- (* 1 1) (* x 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (+ (* x x) (- (* 1 1) (* x 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ (+ (- 1 x) (* x x)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (* (sqrt (- x 1)) (+ (pow x 3) 1))) (/ (+ (- 1 x) (* x x)) (sqrt (- x 1))))) * * * * [misc]progress: [ 117 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (+ (pow x 3) (pow 1 3))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (+ (pow x 3) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (+ 1 1)) (+ (pow x 3) 1)) (/ (+ (* x x) (- (* 1 1) (* x 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (+ (* x x) (- (* 1 1) (* x 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (/ (* x x) (- x 1)) (/ (- x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (+ 1 1)) (+ (pow x 3) 1)) (- (/ (* x x) (- x 1)) (/ (- x 1) (- x 1))))) * * * * [misc]progress: [ 118 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (- (* x x) (* 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (328 enodes) * [exit]simplify: Simplified to (/ (/ (+ (- 1) (- 1)) (cbrt (- x 1))) (* (- (* x x) 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (+ (- 1) (- 1)) (cbrt (- x 1))) (* (- (* x x) 1) (cbrt (- x 1)))) (/ (- x 1) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (- x 1) (cbrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- x 1) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (+ (- 1) (- 1)) (cbrt (- x 1))) (* (- (* x x) 1) (cbrt (- x 1)))) (/ (- x 1) (cbrt (- x 1))))) * * * * [misc]progress: [ 119 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (- (* x x) (* 1 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (/ (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1))) (* (sqrt (- x 1)) (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1))) (* (sqrt (- x 1)) (- x 1))) (/ (- x 1) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (- x 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (/ (- x 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (+ 1 1)) (- (* x x) (* 1 1))) (sqrt (- x 1))) (/ (- x 1) (sqrt (- x 1))))) * * * * [misc]progress: [ 120 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- (+ 1 1)) (- (* x x) (* 1 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (- (* x x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (- 1) 1) (- (* x x) 1)) (/ (- x 1) (- x 1)))) * [enter]simplify: Simplifying (/ (- x 1) (- x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (- 1) 1) (- (* x x) 1)) 1)) * * * * [misc]progress: [ 121 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (+ 1 x) (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (/ (+ 1 1) (* (+ 1 x) (- x 1))))) * * * * [misc]progress: [ 125 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1)))) * * * * [misc]progress: [ 126 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) (+ x 1)) (sqrt (- x 1))) (sqrt (- x 1)))) * * * * [misc]progress: [ 127 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) (+ x 1)) 1) (- x 1))) * * * * [misc]progress: [ 128 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) (/ (- x 1) (cbrt (/ (- (+ 1 1)) (+ x 1)))))) * * * * [misc]progress: [ 129 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- (+ 1 1)) (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ (/ (- 1) (+ x 1)) (/ (- 1) (+ x 1)))) (/ (- x 1) (sqrt (/ (- (+ 1 1)) (+ x 1)))))) * * * * [misc]progress: [ 130 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 131 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 132 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (- x 1) (/ (cbrt (- (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 133 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 134 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 135 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (- 1) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (- 1) 1)) (/ (- x 1) (/ (sqrt (- (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 136 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (- (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 137 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (+ x 1))) (/ (- x 1) (/ (- (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 138 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (- (+ 1 1)) (+ x 1))))) * * * * [misc]progress: [ 139 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (+ 1 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 140 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ -1 (sqrt (+ x 1))) (/ (- x 1) (/ (+ 1 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 141 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 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) to (λ (x) (/ -1 (/ (- x 1) (/ (+ 1 1) (+ x 1))))) * * * * [misc]progress: [ 142 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 143 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 144 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (- x 1) (/ (cbrt (+ 1 1)) (+ x 1))))) * * * * [misc]progress: [ 145 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 146 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 147 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (+ x 1))))) * * * * [misc]progress: [ 148 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (+ 1 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 149 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- 1) (sqrt (+ 1 x))) (/ (- x 1) (/ (+ 1 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 150 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1) (/ (- x 1) (/ (+ 1 1) (+ x 1))))) * * * * [misc]progress: [ 151 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 152 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 153 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (- x 1) (/ (- (cbrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 154 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 155 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 156 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ (- (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 157 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (- (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 158 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (+ x 1))) (/ (- x 1) (/ (- (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 159 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (- (+ 1 1)) (+ x 1))))) * * * * [misc]progress: [ 160 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (- 1) (- 1)) (/ (- x 1) (/ 1 (+ x 1))))) * * * * [misc]progress: [ 162 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 1)) (+ (pow x 3) (pow 1 3))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (/ (+ (- 1) (- 1)) (+ (pow x 3) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (+ (- 1) (- 1)) (+ (pow x 3) 1)) (/ (- x 1) (+ (* x x) (- (* 1 1) (* x 1)))))) * * * * [misc]progress: [ 163 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (+ 1 1)) (- (* x x) (* 1 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (- (* x x) 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (- 1) 1) (- (* x x) 1)) (/ (- x 1) (- x 1)))) * * * * [misc]progress: [ 164 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (+ 1 1)) (+ x 1)) (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x)))) * * * * [misc]progress: [ 165 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (+ 1 1)) (+ x 1)) (- (* x x) (* 1 1))) (+ 1 x))) * * * * [misc]progress: [ 166 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (+ (- 1) (- 1)) (* (- x 1) (+ x 1)))) * * * * [misc]progress: [ 167 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 168 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- (+ 1 1))) (log (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (- (log (- (- 1) 1)) (log (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (exp (- (log (- (- 1) 1)) (log (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 169 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 170 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- (+ 1 1)) (- (+ 1 1))) (- (+ 1 1))) (* (* (+ x 1) (+ x 1)) (+ x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (150 enodes) * [exit]simplify: Simplified to (* (- (/ (+ 1 1) (+ x 1))) (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (cbrt (* (- (/ (+ 1 1) (+ x 1))) (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1))))) (- x 1))) * * * * [misc]progress: [ 172 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 173 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 174 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 0 (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- 0 (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 177 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (cbrt (+ x 1)))) (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (- (+ 1 1))) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt (- (- 1) 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 178 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (sqrt (+ x 1))) (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (- (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) (sqrt (+ x 1))) (/ (cbrt (- (- 1) 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 179 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (cbrt (- (+ 1 1))) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (- (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (- 1) 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (cbrt (- (- 1) 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 180 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (- 1) 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (- (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- (- 1) 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 181 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (- (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (- (- 1) 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 182 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (- (- 1) 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (- (- 1) 1)) (/ (sqrt (- (+ 1 1))) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (- (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (- 1) 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (- (- 1) 1)) (/ (sqrt (- (- 1) 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 183 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (- 1) 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 184 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (- 1) 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 185 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (- (+ 1 1)) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 186 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ -1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 187 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ -1 (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ -1 (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 188 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ -1 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 1) to (λ (x) (/ (* -1 (/ (+ 1 1) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* -1 (/ (+ 1 1) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 189 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 190 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (+ x 1))) (/ (cbrt (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 191 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 192 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 193 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 194 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 195 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 196 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- 1) (sqrt (+ 1 x))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- 1) (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 197 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- 1) (/ (+ 1 1) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (+ 1 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- 1) (/ (+ 1 1) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 198 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (cbrt (+ 1 1))) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (cbrt (+ 1 1))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 199 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (cbrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 200 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (- (cbrt (+ 1 1))) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (- (cbrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ 1 1)) (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (- (/ (cbrt (+ 1 1)) (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 201 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 202 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 203 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 1)) (- (/ (sqrt (+ 1 1)) (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 204 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (- 1) 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 205 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (sqrt (+ x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (- 1) 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 206 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (- (+ 1 1)) (+ x 1))) (- x 1))) * [enter]simplify: Simplifying (/ (- (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 207 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 208 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 209 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 210 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (- (/ (+ 1 1) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 211 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 212 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 213 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (- (+ 1 1)) 1) (+ 1 x)) (- x 1))) * * * * [misc]progress: [ 214 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (+ 1 1))) (cbrt (- (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (* (cbrt (- (- 1) 1)) (cbrt (- (- 1) 1))) (/ (+ x 1) (cbrt (- (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 215 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (sqrt (+ (- 1) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt (+ (- 1) (- 1))) (/ (+ x 1) (sqrt (- (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 216 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 217 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 218 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 219 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 220 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (- 1) (/ (+ x 1) (+ 1 1))) (- x 1))) * * * * [misc]progress: [ 221 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 222 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 223 / 233 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (- (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (+ (- 1 x) (* x x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (+ 1 1)) (+ (pow x 3) (pow 1 3))) (+ (- 1 x) (* x x))) (- x 1))) * * * * [misc]progress: [ 225 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (+ 1 1)) (- (* x x) (* 1 1))) (- x 1)) (- x 1))) * * * * [misc]progress: [ 226 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow 1 3) (pow 1 3))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (21 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (+ (- 1) (- 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (+ (- 1) (- 1)) (* (+ x 1) (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1))) * * * * [misc]progress: [ 227 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (* 1 1) (* 1 1))) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to (- 0) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (- 0) (* (+ x 1) (- 1 1))) (- x 1))) * * * * [misc]progress: [ 228 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 (pow x 2)) (+ (* 2 (pow x 4)) 2)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (+ 2 (* 2 (+ (pow x 4) (* x x)))) * [misc]simplify: Simplified (2) to (λ (x) (+ 2 (* 2 (+ (pow x 4) (* x x))))) * * * * [misc]progress: [ 229 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * * [misc]progress: [ 230 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 (pow x 4))) (+ (* 2 (/ 1 (pow x 6))) (* 2 (/ 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (155 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6)))) * [misc]simplify: Simplified (2) to (λ (x) (+ (/ (- 2) (pow x 4)) (- (/ (- 2) (* x x)) (/ 2 (pow x 6))))) * * * * [misc]progress: [ 231 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 x) (+ (* 2 (pow x 2)) 2)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (- (* (* 2 x) (- 1 x)) 2) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (* 2 x) (- 1 x)) 2) (- x 1))) * * * * [misc]progress: [ 232 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (- (/ 2 (* x x)) (+ (/ 2 x) (/ (/ 2 x) (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ 2 (* x x)) (+ (/ 2 x) (/ (/ 2 x) (* x x)))) (- x 1))) * * * * [misc]progress: [ 233 / 233 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 (pow x 2))) (+ (* 2 (/ 1 (pow x 3))) (* 2 (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (- (/ 2 (* x x)) (+ (/ 2 x) (/ (/ 2 x) (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ 2 (* x x)) (+ (/ 2 x) (/ (/ 2 x) (* x x)))) (- x 1))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (sqrt 2)) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt 2))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (- (/ 1 (sqrt 2))) x) (/ -1 (sqrt 2))) into (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (sqrt 2)) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt 2))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) 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) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 (sqrt 2))) (* (/ -1 (sqrt 2)) (/ 1 (/ 1 x)))) into (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * [misc]approximate: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (sqrt 2)) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 1 (sqrt 2))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)) (* 2 (* 0 0)) (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (- (/ 1 (sqrt 2))) (* (/ 1 (sqrt 2)) (/ 1 (/ 1 (- x))))) into (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* -1 (pow (sqrt 2) 2)) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow (sqrt 2) 2)) (pow x 2)) (+ (* (pow (sqrt 2) 2) x) (* -1 (pow (sqrt 2) 2)))) into (- (* (pow (sqrt 2) 2) x) (+ (pow (sqrt 2) 2) (* (pow (sqrt 2) 2) (pow x 2)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* -1 (pow (sqrt 2) 2)) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow (sqrt 2) 2)) (pow (/ 1 x) 3)) (+ (* (pow (sqrt 2) 2) (pow (/ 1 x) 2)) (* (* -1 (pow (sqrt 2) 2)) (/ 1 x)))) into (- (/ (pow (sqrt 2) 2) (pow x 2)) (+ (/ (pow (sqrt 2) 2) x) (/ (pow (sqrt 2) 2) (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 1 (sqrt 2))) into (pow (sqrt 2) 2) * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 1 (sqrt 2))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 2) (pow (/ 1 (- x)) 3)) (+ (* (pow (sqrt 2) 2) (pow (/ 1 (- x)) 2)) (* (pow (sqrt 2) 2) (/ 1 (- x))))) into (- (/ (pow (sqrt 2) 2) (pow x 2)) (+ (/ (pow (sqrt 2) 2) x) (/ (pow (sqrt 2) 2) (pow x 3)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (pow (sqrt 2) 2)) -1) into (pow (sqrt 2) 2) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ x 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (- x 1) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (* -1 (pow (sqrt 2) 2)) -1) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (pow (sqrt 2) 2) (/ 1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (pow (sqrt 2) 2)) -1) (+ (* (pow (sqrt 2) 2) (/ 0 -1)) (* 0 (/ 1 -1)))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ -1 (sqrt 2)))) (* (- (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (pow (sqrt 2) 2) (/ 0 -1)) (* 0 (/ 0 -1)) (* (pow (sqrt 2) 2) (/ 1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ -1 (sqrt 2)))) (* (- (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (pow (sqrt 2) 2)) -1) (+ (* (pow (sqrt 2) 2) (/ 0 -1)) (* 0 (/ 0 -1)) (* (pow (sqrt 2) 2) (/ 0 -1)) (* 0 (/ 1 -1)))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (pow (sqrt 2) 2) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (+ (* (pow (sqrt 2) 2) (pow x 4)) (+ (* (pow (sqrt 2) 2) (pow x 2)) (pow (sqrt 2) 2))) into (+ (pow (sqrt 2) 2) (+ (* (pow (sqrt 2) 2) (pow x 2)) (* (pow (sqrt 2) 2) (pow x 4)))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) (- (/ 1 x) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (pow (sqrt 2) 2)) 1) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) (- (/ 1 x) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 x) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ 1 (- (sqrt 2))) into (/ -1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ -1 (sqrt 2))) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (- (/ 1 x) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (* -1 (pow (sqrt 2) 2)) 1) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* -1 (pow (sqrt 2) 2)) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) 1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ -1 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (pow (sqrt 2) 2)) 1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 1)) (* 0 (/ -1 1)))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ -1 (sqrt 2)))) (* (- (pow (sqrt 2) 2)) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) 1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (pow (sqrt 2) 2)) (/ -1 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ -1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ -1 (sqrt 2))) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ -1 (sqrt 2)))) (* (- (pow (sqrt 2) 2)) (/ 0 (/ -1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ -1 (sqrt 2)))))) into (- (pow (sqrt 2) 2)) * [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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (- (pow (sqrt 2) 2)) 1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 1)) (* 0 (/ 0 1)) (* (- (pow (sqrt 2) 2)) (/ 0 1)) (* 0 (/ -1 1)))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow (sqrt 2) 2)) (pow (/ 1 x) 6)) (+ (* (- (pow (sqrt 2) 2)) (pow (/ 1 x) 4)) (* (* -1 (pow (sqrt 2) 2)) (pow (/ 1 x) 2)))) into (- (+ (/ (pow (sqrt 2) 2) (pow x 6)) (+ (/ (pow (sqrt 2) 2) (pow x 4)) (/ (pow (sqrt 2) 2) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) (- (/ 1 (- x)) 1)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 1 (sqrt 2))) into (pow (sqrt 2) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) -1) into (* -1 (pow (sqrt 2) 2)) * [misc]taylor: Taking taylor expansion of (/ (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) (- (/ 1 (- x)) 1)) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (+ 1 1)) (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]taylor: Taking taylor expansion of (/ (+ (/ 1 (- x)) 1) (- (sqrt (+ 1 1)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (sqrt (+ 1 1))) in x * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 1)) in x * [misc]taylor: Taking taylor expansion of (+ 1 1) 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 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (sqrt 2) into (sqrt 2) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (/ -1 (- (sqrt 2))) into (/ 1 (sqrt 2)) * [misc]backup-simplify: Simplify (/ (sqrt 2) (/ 1 (sqrt 2))) into (pow (sqrt 2) 2) * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x)) 1) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (pow (sqrt 2) 2) -1) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (* -1 (pow (sqrt 2) 2)) into (* -1 (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 1 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))))) into (- (/ 1 (sqrt 2))) * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ -1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+)) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 2) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 -1)) (* 0 (/ -1 -1)))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (pow (sqrt 2) 2)) (/ -1 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 0 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt 2))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- (sqrt 2)) into (- (sqrt 2)) * [misc]backup-simplify: Simplify (- (/ 0 (- (sqrt 2))) (+ (* (/ 1 (sqrt 2)) (/ 0 (- (sqrt 2)))) (* (- (/ 1 (sqrt 2))) (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))) (* 0 (/ 0 (- (sqrt 2)))))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 (/ 1 (sqrt 2))) (+ (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ 0 (/ 1 (sqrt 2)))) (* (pow (sqrt 2) 2) (/ (- (/ 1 (sqrt 2))) (/ 1 (sqrt 2)))))) into (pow (sqrt 2) 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 (- 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ (pow (sqrt 2) 2) -1) (+ (* (* -1 (pow (sqrt 2) 2)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (pow (sqrt 2) 2)) (/ 0 -1)) (* 0 (/ -1 -1)))) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (- (pow (sqrt 2) 2)) into (- (pow (sqrt 2) 2)) * [misc]backup-simplify: Simplify (+ (* (- (pow (sqrt 2) 2)) (pow (/ 1 (- x)) 6)) (+ (* (- (pow (sqrt 2) 2)) (pow (/ 1 (- x)) 4)) (* (* -1 (pow (sqrt 2) 2)) (pow (/ 1 (- x)) 2)))) into (- (+ (/ (pow (sqrt 2) 2) (pow x 6)) (+ (/ (pow (sqrt 2) 2) (pow x 4)) (/ (pow (sqrt 2) 2) (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (+ x 1)) (log (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (- (log (+ 1 x)) (log (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (exp (- (log (+ 1 x)) (log (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 3 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (119 enodes) * * [misc]simplify: iters left: 3 (390 enodes) * [exit]simplify: Simplified to (/ (* (* (+ 1 x) (+ 1 x)) (/ (+ 1 x) (+ 1 1))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (* (* (+ 1 x) (+ 1 x)) (/ (+ 1 x) (+ 1 1))) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 6 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 11 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 12 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 13 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) -1) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) -1) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 14 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 15 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 16 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 17 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 18 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 19 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) (- 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) (- 1)) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1)) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 20 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 21 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 22 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 23 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 x)) (sqrt 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (/ (cbrt (+ 1 x)) (sqrt 1)) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1)) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 24 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 25 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 26 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 27 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 28 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (sqrt (+ 1 x)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (sqrt (+ 1 x)) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 29 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) -1) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) -1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) -1) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) -1) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 30 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 31 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 32 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 33 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- (sqrt 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (- (sqrt 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 34 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 35 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (- 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (- 1)) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 36 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 37 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 38 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 39 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (sqrt 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (sqrt 1)) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 40 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 41 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (sqrt (+ 1 x)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (sqrt (+ 1 x)) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 42 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- (sqrt (+ 1 1))))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (/ 1 (cbrt (- (sqrt (+ 1 1))))) (cbrt (- (sqrt (+ 1 1))))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (+ 1 x) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 43 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (- (sqrt (+ 1 1))))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (- (sqrt (+ 1 1))))) (/ (+ 1 x) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 44 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* 1 (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* 1 (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 45 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 -1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 -1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 -1) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 -1) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 46 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 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 (/ (/ 1 (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (/ 1 (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 47 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (fabs (cbrt (+ 1 1))))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (fabs (cbrt (+ 1 1))))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 48 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt (sqrt (+ 1 1))))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt (sqrt (+ 1 1))))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 49 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqrt 1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 50 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt (sqrt (+ 1 1))))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- (sqrt (sqrt (+ 1 1))))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 51 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to (/ 1 (- 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (- 1)) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 52 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (/ 1 (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (+ 1 x) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 53 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (fabs (cbrt (+ 1 1)))) (/ (+ 1 x) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 54 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 55 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt 1)) (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 56 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ 1 (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 57 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* 1 (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* 1 (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 58 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (cbrt (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 62 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 63 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) 1) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 64 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) -1) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 65 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 66 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 67 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 68 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- (sqrt 1))) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 69 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 70 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (- 1)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 71 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 72 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 73 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 74 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (sqrt 1)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 75 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 76 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (/ (+ x 1) 1) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 77 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ x 1)) (cbrt (+ x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (/ (- (sqrt (+ 1 1))) (cbrt (+ x 1))))) (- x 1))) * * * * [misc]progress: [ 78 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 x)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ 1 x)) (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))))) (- x 1))) * * * * [misc]progress: [ 79 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3))))) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 81 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 0) * [misc]simplify: Simplified (2 1 2 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1))))) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 82 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow x 3) (pow 1 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * [exit]simplify: Simplified to (+ 1 (pow x 3)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (+ 1 (pow x 3)) (* (- (sqrt (+ 1 1))) (+ (* x x) (- (* 1 1) (* x 1)))))) (- x 1))) * * * * [misc]progress: [ 83 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* x x) (* 1 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- (* x x) 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (/ (- (* x x) 1) (* (- (sqrt (+ 1 1))) (- x 1)))) (- x 1))) * * * * [misc]progress: [ 84 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ 1 1))) (- (log (+ x 1)) (log (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (log (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (exp (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (log (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 86 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (+ 1 1))) (log (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (+ 1 1))) (log (+ 1 x))) (log (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (exp (+ (- (log (sqrt (+ 1 1))) (log (+ 1 x))) (log (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 87 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ 1 1)) (sqrt (+ 1 1))) (sqrt (+ 1 1))) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (179 enodes) * [exit]simplify: Simplified to (/ (+ (+ (- 1) (- 1)) (+ (- 1) (- 1))) (* (/ (+ x 1) (+ 1 1)) (* (+ x 1) (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (cbrt (/ (+ (+ (- 1) (- 1)) (+ (- 1) (- 1))) (* (/ (+ x 1) (+ 1 1)) (* (+ x 1) (+ x 1))))) (- x 1))) * * * * [misc]progress: [ 90 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (+ 1 1)) (sqrt (+ 1 1))) (sqrt (+ 1 1))) (* (* (/ (+ x 1) (- (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (105 enodes) * * [misc]simplify: iters left: 3 (405 enodes) * [exit]simplify: Simplified to (* (/ (+ (- 1) (- 1)) (+ x 1)) (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (cbrt (* (/ (+ (- 1) (- 1)) (+ x 1)) (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1))))) (- x 1))) * * * * [misc]progress: [ 91 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 94 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 95 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 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 (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 96 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 97 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 98 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 99 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 100 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 101 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 102 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 103 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 104 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 105 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 106 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 107 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 108 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 109 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 110 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 111 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 112 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 113 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 114 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 115 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 116 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 117 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 118 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (fabs (cbrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (fabs (cbrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 119 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 120 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 121 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 122 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 123 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 124 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 125 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 126 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 1) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (/ (sqrt 1) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 127 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 128 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 129 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 130 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 131 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 132 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 133 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 134 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 135 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 136 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 137 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 138 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 139 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 1)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (+ 1 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (+ 1 1)) (cbrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 140 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 141 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 142 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 143 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 144 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 145 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 146 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 147 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 148 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (/ (- (sqrt 0)) (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (/ (- (sqrt 0)) (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (/ (- (sqrt 0)) (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 149 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 150 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 151 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 152 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 153 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 154 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 155 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 156 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 157 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 158 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 159 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 160 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 161 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 162 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (- (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 163 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 164 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ x 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 165 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 166 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 167 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 168 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 169 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [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) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 170 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 171 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 172 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (cbrt (+ 1 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 173 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 174 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 175 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 176 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 177 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 178 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (- (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 179 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 180 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 181 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 182 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [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) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 183 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 184 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 185 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 186 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 187 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 188 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 189 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 190 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 191 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 192 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 193 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 194 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (- (cbrt (+ 1 1))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 195 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 196 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 197 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 198 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 199 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 200 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (+ x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 201 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 202 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (sqrt (cbrt (+ 1 1))) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 203 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 204 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 205 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 206 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 207 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 208 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 209 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 210 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 211 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 212 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 213 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 214 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 215 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 216 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 217 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 218 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 219 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 220 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 221 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 222 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 223 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 224 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 225 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 226 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 227 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 228 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 229 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 230 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 231 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 232 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 233 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 234 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 235 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 236 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 237 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 238 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 239 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 240 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 241 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 242 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 243 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 244 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 245 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 246 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 247 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 248 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 249 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 250 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 251 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 252 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 253 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 254 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 255 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 256 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 257 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 258 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 259 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 260 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 261 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 262 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 263 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 264 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 265 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 266 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 267 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 268 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 269 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 270 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1))))) (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 271 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 272 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 273 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 274 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 275 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 276 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 277 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 278 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 279 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 280 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 281 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 282 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- 1) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- 1) (sqrt (+ 1 x))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 283 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 284 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 285 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 x)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 x)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 286 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 287 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 288 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (+ 1 x))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 289 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 290 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 291 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt 1)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt 1)) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt 1)) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 292 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt 1)) (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 293 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt 1) (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 294 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 -1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt 1)) (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 295 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 296 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 297 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 298 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- 1) (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 299 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 300 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt 1)) (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 301 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (- (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 302 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (- (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 303 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 304 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 305 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 306 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt 1) (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 307 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt 1) (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 308 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (+ 1 x)) (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (+ 1 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (+ x 1)) (- (+ 1 1))) (- x 1))) * * * * [misc]progress: [ 309 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt 1) (+ 1 x)) (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (sqrt 1) (+ 1 x)) (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 310 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) (/ (sqrt (+ 1 1)) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) (/ (sqrt (+ 1 1)) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 311 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 312 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 313 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 314 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 315 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 316 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 317 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 318 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 319 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 320 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 321 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 322 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 323 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 324 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 325 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 326 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 327 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 328 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 329 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 330 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 331 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 332 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 333 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 334 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 335 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 336 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 337 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (- x 1))) * * * * [misc]progress: [ 338 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 339 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 340 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 341 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 342 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 343 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) (- x 1))) * * * * [misc]progress: [ 344 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 345 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 346 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 347 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 348 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 349 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 350 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 351 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 352 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 353 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 354 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 355 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 356 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 357 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 358 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 359 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (+ 1 x))) (- x 1))) * * * * [misc]progress: [ 360 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 361 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 362 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 363 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 364 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 365 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 366 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (- x 1))) * * * * [misc]progress: [ 367 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 368 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 369 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 370 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 371 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 372 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 373 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 374 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (- (sqrt 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (- (sqrt 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 375 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 376 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (- 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (- 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (+ 1 1) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 377 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 378 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 379 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 380 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 381 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 382 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (+ 1 1)) (cbrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 383 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 384 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 385 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 386 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ -1 (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ -1 (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 387 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 388 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 389 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 390 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 391 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 392 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (- 1) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (- 1) (sqrt (+ x 1))) (/ (+ 1 1) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 393 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 394 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 395 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 396 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ x 1))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 397 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 398 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (sqrt (+ x 1))) (/ (- (+ 1 1)) (sqrt (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 399 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 400 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 401 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 402 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 -1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* -1 (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* -1 (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 403 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 404 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 405 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 406 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt 1)) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt 1)) (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 407 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 408 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (+ x 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- 1) (/ (+ 1 1) (+ x 1))) (- x 1))) * * * * [misc]progress: [ 409 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 410 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (- (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 411 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 412 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt 1) (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 413 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 414 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 415 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* 1 (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (+ x 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* 1 (- (/ (+ 1 1) (+ x 1)))) (- x 1))) * * * * [misc]progress: [ 416 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (/ 1 (+ x 1)) (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (- (+ 1 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ 1 (+ x 1)) (- (+ 1 1))) (- x 1))) * * * * [misc]progress: [ 417 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 1)) (/ (- 1) (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (* (sqrt (+ 1 1)) (/ (- 1) (+ x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (* (sqrt (+ 1 1)) (/ (- 1) (+ x 1))) (/ (sqrt (+ 1 1)) (sqrt 1))) (- x 1))) * * * * [misc]progress: [ 418 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (/ (sqrt 0) (+ x 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (* (- (/ (sqrt 0) (+ x 1))) (/ (sqrt (+ 1 1)) (sqrt (- 1 1)))) (- x 1))) * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt 0)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (- (/ (sqrt 0) (+ x 1))) (/ (sqrt (+ 1 1)) (sqrt 0))) (- x 1))) * * * * [misc]progress: [ 419 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 420 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 421 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 422 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 423 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 424 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 425 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 426 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 427 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 428 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 429 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (/ (cbrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 430 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 431 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 432 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 433 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (/ (cbrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 434 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 435 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (/ (cbrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 436 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 437 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 438 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 439 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (/ (cbrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 440 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 441 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 442 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) 1)) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 443 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) -1)) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 444 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 445 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 446 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 447 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 448 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 449 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- 1))) (/ (sqrt (+ 1 x)) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 450 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 451 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (/ (sqrt (+ 1 x)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 452 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 453 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 454 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 455 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) 1)) (/ (sqrt (+ 1 x)) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 456 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (/ (+ 1 x) (cbrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 457 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (/ (+ 1 x) (sqrt (- (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 458 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 1)) (/ (+ 1 x) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 459 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 -1)) (/ (+ 1 x) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 460 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 461 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (/ (+ 1 x) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 462 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 463 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 464 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 465 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (- 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 466 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (+ 1 x) (- (cbrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 467 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (/ (+ 1 x) (- (sqrt (cbrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 468 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (sqrt (sqrt (+ 1 1))))) (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 469 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (sqrt 1))) (/ (+ 1 x) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 470 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 (sqrt (sqrt (+ 1 1))))) (/ (+ 1 x) (- (sqrt (sqrt (+ 1 1)))))) (- x 1))) * * * * [misc]progress: [ 471 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ 1 1)) (/ (+ 1 x) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 472 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ x 1) (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (+ 1 x) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) 1) (/ (+ 1 x) (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 473 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (/ 1 (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (+ x 1)) (/ 1 (- (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 474 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt 1)) (- x 1))) * * * * [misc]progress: [ 475 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 0) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt 0)) (- x 1))) * * * * [misc]progress: [ 476 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (+ x 1) (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 477 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (cbrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 478 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 479 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt 1) (/ (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 480 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1))))) (- x 1))) * * * * [misc]progress: [ 481 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 482 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (+ 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (- (sqrt (+ 1 1)))) (- x 1))) * * * * [misc]progress: [ 483 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (pow 1 3) (pow 1 3))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (* (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))) (- x 1))) * * * * [misc]progress: [ 484 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* 1 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt 0) * [misc]simplify: Simplified (2 1 1) to (λ (x) (/ (/ (sqrt 0) (* (/ (+ x 1) (- (sqrt (+ 1 1)))) (sqrt (- 1 1)))) (- x 1))) * * * * [misc]progress: [ 485 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 486 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (+ 1 1))) (- (log (+ x 1)) (log (- (sqrt (+ 1 1)))))) (log (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (269 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (+ (log (- x 1)) (log (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (+ (log (- x 1)) (log (+ 1 x))))))) * * * * [misc]progress: [ 487 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (sqrt (+ 1 1))) (log (/ (+ x 1) (- (sqrt (+ 1 1)))))) (log (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (410 enodes) * [exit]simplify: Simplified to (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (+ (log (+ 1 x)) (log (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (+ (log (- (sqrt (+ 1 1)))) (- (log (sqrt (+ 1 1))) (+ (log (+ 1 x)) (log (- x 1))))))) * * * * [misc]progress: [ 488 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (log (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (- (log (- (+ 1 1))) (+ (log (+ x 1)) (log (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (exp (- (log (- (+ 1 1))) (+ (log (+ x 1)) (log (- x 1)))))) * * * * [misc]progress: [ 489 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 490 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 491 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (+ 1 1)) (sqrt (+ 1 1))) (sqrt (+ 1 1))) (/ (* (* (+ x 1) (+ x 1)) (+ x 1)) (* (* (- (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (- (sqrt (+ 1 1)))))) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (60 enodes) * * [misc]simplify: iters left: 4 (242 enodes) * [exit]simplify: Simplified to (/ (* (/ (/ (+ 1 1) (- x 1)) (* (- x 1) (- x 1))) (sqrt (+ 1 1))) (/ (* (/ (+ x 1) (+ 1 1)) (* (+ x 1) (+ x 1))) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (* (/ (/ (+ 1 1) (- x 1)) (* (- x 1) (- x 1))) (sqrt (+ 1 1))) (/ (* (/ (+ x 1) (+ 1 1)) (* (+ x 1) (+ x 1))) (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 492 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (sqrt (+ 1 1)) (sqrt (+ 1 1))) (sqrt (+ 1 1))) (* (* (/ (+ x 1) (- (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (173 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (+ 1 1)) (+ x 1)) (/ (- (+ 1 1)) (+ x 1))) (/ (pow (- x 1) 3) (/ (- (+ 1 1)) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (/ (* (/ (- (+ 1 1)) (+ x 1)) (/ (- (+ 1 1)) (+ x 1))) (/ (pow (- x 1) 3) (/ (- (+ 1 1)) (+ x 1)))))) * * * * [misc]progress: [ 493 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (* (- x 1) (- x 1)) (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (134 enodes) * [exit]simplify: Simplified to (* (/ (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1))) (* (- x 1) (- x 1))) (- (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (cbrt (* (/ (* (/ (+ 1 1) (+ x 1)) (/ (+ 1 1) (+ x 1))) (* (- x 1) (- x 1))) (- (/ (/ (+ 1 1) (+ x 1)) (- x 1)))))) * * * * [misc]progress: [ 494 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 495 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 496 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 497 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 498 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1)))) (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1)))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 499 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (sqrt (- x 1))) (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (/ (- (+ 1 1)) (+ x 1))) (cbrt (/ (- (+ 1 1)) (+ x 1)))) (sqrt (- x 1))) (/ (cbrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 500 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (+ (- 1) (- 1)) (+ x 1))) (cbrt (/ (+ (- 1) (- 1)) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (/ (+ (- 1) (- 1)) (+ x 1))) (cbrt (/ (+ (- 1) (- 1)) (+ x 1)))) (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (/ (+ (- 1) (- 1)) (+ x 1))) (cbrt (/ (+ (- 1) (- 1)) (+ x 1)))) (/ (cbrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 501 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (- 1) 1) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (/ (- (- 1) 1) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (/ (- (- 1) 1) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 502 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))) (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))) (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 503 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ 1 1) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- (/ (+ 1 1) (+ x 1)))) (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- (/ (+ 1 1) (+ x 1)))) (/ (sqrt (/ (- (+ 1 1)) (+ x 1))) (- x 1)))) * * * * [misc]progress: [ 504 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (131 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (297 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 505 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 506 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 507 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 508 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 509 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 510 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (97 enodes) * * [misc]simplify: iters left: 3 (317 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 511 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (84 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 512 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (81 enodes) * * [misc]simplify: iters left: 3 (291 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 513 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 514 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (sqrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 515 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 516 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 517 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 518 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 519 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (209 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (+ x 1)) -1)) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (+ x 1)) -1)) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 520 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (363 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) -1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) -1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 521 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 522 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 523 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 524 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (328 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 525 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (238 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 526 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (465 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (- (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (- (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (- (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))))) (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 527 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 528 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 529 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (- (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 530 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 531 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (- (sqrt 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 532 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 533 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 534 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 535 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (- (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 536 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (193 enodes) * [exit]simplify: Simplified to (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 537 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (228 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 538 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (167 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 539 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 540 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (271 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 541 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (453 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 542 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (234 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 543 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (211 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 544 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (358 enodes) * [exit]simplify: Simplified to (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 545 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 546 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 547 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 548 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 549 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (cbrt (- x 1)) (/ (sqrt 1) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (cbrt (- x 1)) (/ (sqrt 1) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 550 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 551 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 552 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 553 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (353 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 554 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 555 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 556 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (421 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 557 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 558 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 559 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 560 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (143 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 561 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 562 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 563 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (343 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 564 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 565 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 566 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 567 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ x 1)) -1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ x 1)) -1) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 568 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 569 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 570 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 571 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (359 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 572 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * [exit]simplify: Simplified to (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 573 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (fabs (cbrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (fabs (cbrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 574 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (425 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (sqrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 575 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (118 enodes) * * [misc]simplify: iters left: 2 (402 enodes) * [exit]simplify: Simplified to (/ (* (- (fabs (cbrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (fabs (cbrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (sqrt (+ x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (fabs (cbrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (sqrt (+ x 1))) (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 576 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 577 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 578 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 579 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (* (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 580 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (- x 1)) (- (sqrt 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (- x 1)) (- (sqrt 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 581 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 582 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (153 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 583 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (420 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 584 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (405 enodes) * [exit]simplify: Simplified to (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 585 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (146 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (- x 1)) (- 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (- x 1)) (- 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 586 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 587 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (342 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 588 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (159 enodes) * * [misc]simplify: iters left: 2 (389 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 589 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 590 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (466 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 591 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 592 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 593 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (345 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 594 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 595 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 596 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 597 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 598 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 599 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 600 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (301 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 601 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (154 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 602 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 603 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 604 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (464 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 605 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (+ x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 606 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 607 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 608 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 609 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (407 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 610 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1)))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 611 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (281 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 612 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 613 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 614 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 615 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (447 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 616 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 617 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 618 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1))))))) * * * * [misc]progress: [ 619 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (128 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1))))))) * * * * [misc]progress: [ 620 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * [exit]simplify: Simplified to (* (pow (cbrt (sqrt (+ 1 1))) 3) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (pow (cbrt (sqrt (+ 1 1))) 3) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (pow (cbrt (sqrt (+ 1 1))) 3) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 621 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (fabs (cbrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 622 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 623 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (cbrt (sqrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 624 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 625 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 626 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 627 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (- x 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (- x 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (cbrt (- x 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 628 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 629 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 630 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 631 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 632 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 633 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 634 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 635 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 636 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 637 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 638 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (241 enodes) * * [misc]simplify: iters left: 1 (378 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 1))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (- x 1) (+ 1 x)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 639 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (387 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (fabs (cbrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (fabs (cbrt (+ 1 1))))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 640 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (248 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 641 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 642 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 643 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 644 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 645 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (- x 1)) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (- x 1)) (sqrt 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (- x 1)) (sqrt 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 646 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 647 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (cbrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 648 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (435 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 649 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 650 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 651 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (251 enodes) * * [misc]simplify: iters left: 1 (389 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 652 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (153 enodes) * * [misc]simplify: iters left: 1 (287 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 653 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 654 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (214 enodes) * * [misc]simplify: iters left: 1 (248 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 655 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 656 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 657 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 658 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) (sqrt (- x 1))) (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 659 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))))) * * * * [misc]progress: [ 660 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (165 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (* (* (/ (- (sqrt (+ 1 1))) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (- (sqrt (+ 1 1))) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (- (sqrt (+ 1 1))) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 661 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (308 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 662 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt (+ 1 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 663 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (436 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))) * * [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 (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 664 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (sqrt (- x 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (sqrt (- x 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))) * * [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 (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (sqrt (- x 1)))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 665 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (408 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt 0)))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt 0)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))))) * * * * [misc]progress: [ 666 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 667 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 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 (41 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (sqrt (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (sqrt (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (sqrt (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 668 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 669 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 670 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 671 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 672 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 673 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (149 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 674 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (444 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 675 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1)))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 676 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 677 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 678 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 679 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 680 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 681 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * * [misc]simplify: iters left: 1 (475 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 682 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 683 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (229 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 684 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (268 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 685 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (- x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 686 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (205 enodes) * [exit]simplify: Simplified to (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 687 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (141 enodes) * * [misc]simplify: iters left: 2 (320 enodes) * [exit]simplify: Simplified to (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 688 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (185 enodes) * * [misc]simplify: iters left: 1 (278 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (sqrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (sqrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (sqrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 689 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (217 enodes) * * [misc]simplify: iters left: 1 (347 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (cbrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 690 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 691 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 692 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 693 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 694 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 695 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 696 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 697 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 698 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (233 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 699 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 700 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 701 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 702 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 703 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (300 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 704 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (178 enodes) * * [misc]simplify: iters left: 2 (456 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 705 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (396 enodes) * [exit]simplify: Simplified to (* (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (/ (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 706 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (sqrt (- x 1))) (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 707 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 708 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 709 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 710 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 711 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (455 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 712 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ x 1)) (* (cbrt (+ x 1)) (sqrt (- x 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 713 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt 1))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 714 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 715 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 716 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 717 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 718 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (357 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 719 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 720 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (488 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 721 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 722 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 723 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 724 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 725 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 726 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 727 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 728 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 729 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (202 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 730 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 731 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ -1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ -1 (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ -1 (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 732 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (169 enodes) * * [misc]simplify: iters left: 2 (438 enodes) * [exit]simplify: Simplified to (/ (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 733 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (433 enodes) * [exit]simplify: Simplified to (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (- (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (- (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (- (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 734 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (307 enodes) * [exit]simplify: Simplified to (* (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 735 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 736 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (+ 1 1)))) (/ (/ (cbrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 737 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (- (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 738 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 739 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 740 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 741 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 742 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 743 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 744 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 745 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (cbrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 746 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 747 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 748 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 749 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (* (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (+ 1 1))))) * * * * [misc]progress: [ 750 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (487 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 751 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 752 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (* (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 753 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (173 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (sqrt (+ x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (sqrt (+ x 1))) (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 754 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (/ (cbrt (+ 1 1)) (sqrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 755 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (+ 1 1))) (/ (- (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 756 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 757 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 758 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 759 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt 1) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt 1) (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 760 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (/ (sqrt 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (/ (sqrt 1) (sqrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (/ (sqrt 1) (sqrt (- x 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 761 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 762 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 763 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 764 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (sqrt (+ 1 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 765 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (304 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 766 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (172 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 767 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 768 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1))))))) * * * * [misc]progress: [ 769 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (292 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1))))))) * * * * [misc]progress: [ 770 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (- x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (fabs (cbrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (- x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 771 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (405 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (- (sqrt (+ 1 1))))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1))))))) * * * * [misc]progress: [ 772 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (sqrt (- x 1))))))) * * * * [misc]progress: [ 773 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (270 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (- x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (* (+ 1 x) (- x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 774 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 775 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 776 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 1))) (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))))) * * * * [misc]progress: [ 777 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (277 enodes) * [exit]simplify: Simplified to (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 778 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (/ -1 (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 779 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) -1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) -1) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) -1) (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 780 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (490 enodes) * [exit]simplify: Simplified to (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 781 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (* (* (fabs (cbrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (fabs (cbrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (fabs (cbrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 782 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 783 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1))))) (/ (cbrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 784 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (sqrt (- x 1))) (- (cbrt (+ 1 1)))) (/ (cbrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 785 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [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 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (+ 1 1))) (cbrt (+ 1 1))) (/ (cbrt (+ 1 1)) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 786 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 787 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 788 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 789 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt 1)) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt 1)) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 790 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (- x 1)) (- (sqrt 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 791 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 792 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 793 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 794 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 795 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 796 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ 1 x) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 797 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- 1))) 1) * * [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 (24 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (fabs (cbrt (+ 1 1)))) (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 798 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 799 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (310 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 800 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 801 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (262 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (+ 1 1)) (cbrt (- x 1))) (/ (cbrt (+ 1 1)) (cbrt (- x 1)))) (/ (- (cbrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 802 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (cbrt (+ 1 1)) (/ (sqrt (- x 1)) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (+ 1 1)) (/ (sqrt (- x 1)) (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (+ 1 1)) (/ (sqrt (- x 1)) (cbrt (+ 1 1)))) (/ (- (cbrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 803 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (+ 1 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (- (cbrt (+ 1 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 804 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 805 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 806 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 807 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 808 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (fabs (cbrt (+ 1 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 809 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))))) * * * * [misc]progress: [ 810 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 811 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 812 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 813 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 814 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 815 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 1))) (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))))) * * * * [misc]progress: [ 816 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 817 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) (sqrt (- x 1))) * * [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 (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 818 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 1))) (- (* (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ 1 x) (- x 1))))))) * * * * [misc]progress: [ 819 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (* (+ x 1) (cbrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (* (+ x 1) (cbrt (- x 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (cbrt (- x 1))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 820 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (+ x 1))) (* (/ (sqrt (cbrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 821 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (- x 1))))) * * * * [misc]progress: [ 822 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 823 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (423 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (* (+ x 1) (sqrt (- x 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (* (+ x 1) (sqrt (- x 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 824 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (212 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) (/ (sqrt (cbrt (+ 1 1))) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 825 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 0)) (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 0)) (+ x 1))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))) * * [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 (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 0)) (+ x 1))) (/ (sqrt (cbrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 826 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (424 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (+ x 1) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))) * * [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 (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (sqrt (cbrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 827 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (cbrt (+ 1 1))) (* (sqrt 0) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (sqrt (cbrt (+ 1 1))) (* (sqrt 0) (- x 1))))) * * * * [misc]progress: [ 828 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 829 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 830 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 831 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 832 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 833 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 834 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 835 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 836 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 837 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 838 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 839 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 840 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 841 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 842 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 843 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 844 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 845 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 846 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 847 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 848 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 849 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 850 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 851 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 852 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 853 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 854 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 855 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 856 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 857 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 858 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 859 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 860 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 861 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 862 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 863 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 864 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 865 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 866 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 867 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 868 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 869 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 870 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 871 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 872 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 873 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 874 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 875 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 876 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 877 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 878 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 879 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 880 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 881 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 882 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 883 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 884 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 885 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 886 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 887 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 888 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 889 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 890 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 891 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 892 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 893 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 894 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 895 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 896 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 897 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 898 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 899 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 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 (155 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 900 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 901 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 902 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 903 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 904 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 905 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 906 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 907 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 908 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 909 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 910 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 911 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 912 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 913 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 914 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 915 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 916 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 917 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 918 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 919 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 920 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 921 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 922 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 923 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 924 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 925 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 926 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 927 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 928 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 929 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 930 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 931 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 932 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 933 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 934 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 935 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 936 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 937 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 938 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 939 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 940 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 941 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 942 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 943 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 944 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (* (sqrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 945 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (435 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 946 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 947 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (sqrt (sqrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (sqrt (sqrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 948 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 949 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 950 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 951 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 952 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 953 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 954 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 955 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 956 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 957 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 958 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 959 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 960 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 961 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 962 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 963 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 964 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 965 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 966 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 967 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 968 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 969 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 970 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 971 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 972 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 973 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 974 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 975 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 976 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 977 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 978 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 979 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 980 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 981 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 982 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 983 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))))) * * * * [misc]progress: [ 984 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 985 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 986 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 987 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))) * * [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 (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 988 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))) * * [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 (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 989 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))))) * * * * [misc]progress: [ 990 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 991 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt 1) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 992 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 993 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 994 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 995 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (- x 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (- x 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 996 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (* (/ (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 997 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * * [misc]simplify: iters left: 1 (497 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 998 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (cbrt (- (sqrt (+ 1 1))))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (cbrt (- (sqrt (+ 1 1))))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (cbrt (- (sqrt (+ 1 1))))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 999 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (- (sqrt (+ 1 1))))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (- (sqrt (+ 1 1))))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1000 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1001 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (/ (cbrt (+ 1 x)) (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (/ (cbrt (+ 1 x)) (sqrt 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (/ (cbrt (+ 1 x)) (sqrt 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 1002 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1003 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1004 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1005 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (121 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) (* (cbrt (+ 1 x)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1006 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1007 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1008 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (- x 1)) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (- x 1)) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1009 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (493 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1010 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1011 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (339 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1012 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (341 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt 1)) (cbrt (+ 1 x)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1013 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (458 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (- (sqrt 1)))) (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1014 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1015 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1016 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1017 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (310 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1018 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1019 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (318 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1020 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1021 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (336 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1022 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1023 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1024 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1025 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (435 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1026 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (/ (* (cbrt (+ 1 x)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (/ (* (cbrt (+ 1 x)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1027 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (297 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1028 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1029 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt 1) (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1030 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1031 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (311 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1032 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1033 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ 1 x))) (/ (* (cbrt (+ 1 x)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (/ (* (cbrt (+ 1 x)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1034 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1035 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (306 enodes) * [exit]simplify: Simplified to (/ 1 (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1036 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (113 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1037 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1038 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (453 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1039 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ 1 x))) (/ (* (cbrt (+ 1 x)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (/ (* (cbrt (+ 1 x)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1040 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (390 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (sqrt 1))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1041 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (323 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ 1 x)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1042 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (437 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ 1 x))) (* (cbrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1043 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1044 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (492 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1045 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt 1))) (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt 1))) (/ (sqrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1046 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * * [misc]simplify: iters left: 1 (436 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 1047 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (+ 1 x)) (cbrt (- x 1))) (/ (sqrt 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (+ 1 x)) (cbrt (- x 1))) (/ (sqrt 1) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1048 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (/ (sqrt (- x 1)) (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (/ (sqrt (- x 1)) (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1049 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 1050 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1051 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1052 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1053 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1054 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1055 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1056 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1057 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (432 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1058 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1059 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (183 enodes) * * [misc]simplify: iters left: 1 (344 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1060 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1061 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (207 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1062 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1063 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1064 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1065 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (291 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (* (sqrt (+ 1 x)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1066 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (129 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1067 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * * [misc]simplify: iters left: 1 (253 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1068 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1069 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1070 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1071 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1072 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1073 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (184 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1074 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1075 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (/ (sqrt 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (/ (sqrt 1) (sqrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1076 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (472 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1077 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1078 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1079 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1080 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1081 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1082 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1083 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1084 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1085 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ 1 x))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1086 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (192 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1087 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1088 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (+ 1 x)))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1089 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (266 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1090 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ 1 x))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1091 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1092 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1093 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1094 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt 1) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1095 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (300 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1096 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt 1))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1097 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (sqrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1098 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1099 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1100 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1101 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (209 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1102 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1103 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt 1)) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt 1)) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1104 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (419 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1105 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1106 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1107 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (438 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1108 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1109 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 1110 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1111 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1112 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1113 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (307 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1114 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1115 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- 1) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1116 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1117 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1118 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1119 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1120 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (417 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1121 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (- 1))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt 1)) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt 1)) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1122 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1123 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (- x 1)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1124 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt 1))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1125 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1126 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (92 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1127 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (cbrt (+ 1 1))) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1128 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1129 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1130 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1131 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (149 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1132 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1133 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1134 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt 1))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1135 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1136 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1137 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1138 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1139 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1140 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1141 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1142 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) 1) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1143 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt 1) (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt 1) (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (+ 1 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1144 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (+ 1 x)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (+ 1 x)) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (+ x 1)) (sqrt (- x 1))) (/ (- (+ 1 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1145 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (+ 1 x)) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (+ 1 x)) (- (/ (+ 1 1) (- x 1))))) * * * * [misc]progress: [ 1146 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (+ 1 1))) (* (* (+ 1 x) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (+ 1 1))) (* (* (+ 1 x) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (+ 1 1))) (* (* (+ 1 x) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt 1)))) * * * * [misc]progress: [ 1147 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (426 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (+ 1 x)) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (+ 1 x)) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (+ 1 x)) (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt 1)))) * * * * [misc]progress: [ 1148 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [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 (69 enodes) * * [misc]simplify: iters left: 2 (179 enodes) * * [misc]simplify: iters left: 1 (335 enodes) * [exit]simplify: Simplified to (* (- (/ (sqrt 1) (+ 1 x))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (/ (sqrt 1) (+ 1 x))) (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (/ (sqrt 1) (+ 1 x))) (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 1149 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 0)) (/ (sqrt 1) (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 0)) (/ (sqrt 1) (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt 0) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 0)) (/ (sqrt 1) (+ 1 x))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt 0) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1150 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (409 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (sqrt 0) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (sqrt 0) (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt 0) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (sqrt 0) (+ 1 x))) (/ (sqrt (+ 1 1)) (* (sqrt 0) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1151 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt 1) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (330 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 0))))) * * * * [misc]progress: [ 1152 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1153 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1154 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1155 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1156 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1157 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (- x 1)) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1158 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (74 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (* (* (cbrt (- x 1)) (cbrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1159 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (144 enodes) * * [misc]simplify: iters left: 2 (294 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (sqrt (- x 1)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1160 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1161 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (sqrt (- (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1162 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (189 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1163 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (397 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1164 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1165 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1166 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1167 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (261 enodes) * * [misc]simplify: iters left: 1 (460 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1168 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (- x 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1169 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (206 enodes) * * [misc]simplify: iters left: 1 (271 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1170 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (265 enodes) * [exit]simplify: Simplified to (/ (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- x 1)) (- (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1171 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (497 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1172 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- (cbrt (sqrt (+ 1 1)))) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1173 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1174 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (cbrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1175 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (273 enodes) * * [misc]simplify: iters left: 1 (468 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1176 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1177 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1178 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1179 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (336 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1180 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (337 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (- (sqrt 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1181 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (275 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1182 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (314 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1183 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (264 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (cbrt (+ 1 x))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1184 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (351 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (+ 1 1)) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1185 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (399 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1186 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1187 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (290 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1188 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1189 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (293 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1190 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (180 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1191 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (125 enodes) * * [misc]simplify: iters left: 2 (262 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1192 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1193 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1194 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1195 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1196 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1197 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (256 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1198 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (* (sqrt (- x 1)) (cbrt (+ 1 x))) (sqrt 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1199 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (194 enodes) * * [misc]simplify: iters left: 1 (340 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1200 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1201 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (122 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1202 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (cbrt (+ 1 x)))))) * * * * [misc]progress: [ 1203 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (305 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ 1 x))) (* (cbrt (- x 1)) (cbrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1204 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * * [misc]simplify: iters left: 1 (443 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (* (sqrt (- x 1)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))))))) * * * * [misc]progress: [ 1205 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1206 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * * [misc]simplify: iters left: 1 (490 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ 1 x))) (/ (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1207 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1208 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (454 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1209 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1210 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1211 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1212 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1213 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1214 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1215 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (sqrt (+ 1 x))) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1216 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1217 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (105 enodes) * * [misc]simplify: iters left: 1 (125 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ -1 (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1218 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (166 enodes) * * [misc]simplify: iters left: 2 (439 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) (* (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1219 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (111 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (431 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1220 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (357 enodes) * [exit]simplify: Simplified to (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1)))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1221 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (- x 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1)))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1222 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x))))) (/ (sqrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1223 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (14 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 (155 enodes) * * [misc]simplify: iters left: 1 (215 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (160 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (fabs (cbrt (+ 1 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1224 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1225 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1226 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1227 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (181 enodes) * * [misc]simplify: iters left: 1 (342 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1228 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1229 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1230 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1231 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1232 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1233 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1234 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (288 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1235 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1236 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1237 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (201 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1238 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (- x 1) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1239 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (194 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1240 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1241 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (132 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ 1 x)))) (* (- (sqrt (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1242 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1243 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1244 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1245 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (193 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (- x 1)) (* (cbrt (- x 1)) (sqrt (+ 1 x))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1246 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1247 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (182 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1248 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1249 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1250 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (121 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- (sqrt (+ 1 1))) (* (- x 1) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 1251 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (276 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (* (sqrt (+ 1 x)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1252 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (155 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ 1 x)) (sqrt (- x 1)))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 1253 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1254 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (117 enodes) * * [misc]simplify: iters left: 2 (252 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1255 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1256 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1257 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (144 enodes) * * [misc]simplify: iters left: 1 (299 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1258 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (- x 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1259 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1260 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1261 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1262 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1263 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1264 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ -1 (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1265 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 1266 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (415 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))))) (/ (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1267 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (107 enodes) * * [misc]simplify: iters left: 2 (239 enodes) * [exit]simplify: Simplified to (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (+ 1 x) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1268 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (cbrt (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (* (sqrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 1269 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * * [misc]simplify: iters left: 1 (435 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1270 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (263 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt (sqrt (+ 1 1)))) (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1)))) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt (cbrt (+ 1 1)))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1271 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (269 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (sqrt (sqrt (+ 1 1))) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (* (/ (sqrt (cbrt (+ 1 1))) (- x 1)) (/ (sqrt (sqrt (+ 1 1))) (+ 1 x))))) * * * * [misc]progress: [ 1272 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1273 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1274 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1275 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1276 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- (sqrt 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1277 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 1278 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1279 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (117 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (+ 1 1)) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1280 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (66 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1281 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (243 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1282 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (422 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (- x 1)) (- 1))) (/ (sqrt (+ 1 1)) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1283 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (+ 1 x)))))) * * * * [misc]progress: [ 1284 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 1285 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (* (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x)))))) * * * * [misc]progress: [ 1286 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (361 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1))))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1287 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1288 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ 1 x) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1289 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (* (+ 1 x) (- x 1)) (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1290 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1291 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1292 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1293 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (304 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (/ (cbrt (- x 1)) (sqrt (sqrt (+ 1 1))))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1294 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (120 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (sqrt 1) (sqrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1295 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1296 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1297 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (159 enodes) * * [misc]simplify: iters left: 1 (393 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))))) * * * * [misc]progress: [ 1298 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1299 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1300 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1301 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1302 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1303 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (sqrt (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1304 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) 1) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (- x 1) (+ 1 x))))) * * * * [misc]progress: [ 1305 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (+ 1 x) (cbrt (- x 1)))) (cbrt (- x 1))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1306 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (106 enodes) * * [misc]simplify: iters left: 1 (195 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) (sqrt (- x 1))) (- (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1307 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (139 enodes) * * [misc]simplify: iters left: 1 (232 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (- x 1))))) * * * * [misc]progress: [ 1308 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (242 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (+ 1 x))) (/ (cbrt (- x 1)) (- (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 1309 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (413 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ 1 x) (sqrt (- x 1)))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 1))))) * * * * [misc]progress: [ 1310 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (* (/ (sqrt (+ 1 1)) (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (sqrt (sqrt (+ 1 1))) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 1311 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (cbrt (- x 1))) * * [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 (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 x) (- (sqrt 0)))) (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 1312 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (415 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (sqrt (- x 1))) * * [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 (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt 0))))) * * * * [misc]progress: [ 1313 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (321 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt 0)) (+ 1 x))) (/ (sqrt (sqrt (+ 1 1))) (* (sqrt 0) (- x 1))))) * * * * [misc]progress: [ 1314 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1315 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 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 (37 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- x 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1316 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (- x 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1317 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1318 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1319 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (- x 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (- x 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1320 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (189 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1321 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (459 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1322 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 1323 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (130 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1324 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1325 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (204 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 1326 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1))) (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1))) (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1327 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1328 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1329 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (116 enodes) * * [misc]simplify: iters left: 2 (238 enodes) * [exit]simplify: Simplified to (/ -1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1330 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (213 enodes) * [exit]simplify: Simplified to (/ (/ -1 (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1331 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (211 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1332 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (260 enodes) * [exit]simplify: Simplified to (/ (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1333 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (195 enodes) * [exit]simplify: Simplified to (- (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- x 1)) (cbrt (sqrt (+ 1 1)))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1334 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (199 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1335 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (398 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1336 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (249 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- x 1)))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1337 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (274 enodes) * * [misc]simplify: iters left: 1 (493 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1338 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1339 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1340 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1341 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (411 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1342 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1343 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (267 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1344 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (57 enodes) * * [misc]simplify: iters left: 3 (135 enodes) * * [misc]simplify: iters left: 2 (414 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1345 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (94 enodes) * * [misc]simplify: iters left: 2 (255 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1346 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (270 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1347 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (+ 1 1) (* (cbrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1348 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (210 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1349 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (+ 1 1) (- x 1)) (cbrt (+ x 1))))) * * * * [misc]progress: [ 1350 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1351 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (* (sqrt (- x 1)) (cbrt (+ x 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1352 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (160 enodes) * * [misc]simplify: iters left: 2 (470 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1353 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (309 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (* (cbrt (- x 1)) (cbrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (+ x 1))))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1354 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (172 enodes) * * [misc]simplify: iters left: 1 (471 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (* (sqrt (- x 1)) (cbrt (+ x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1355 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1356 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1357 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1358 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1359 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (386 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (* (* (cbrt (+ x 1)) (cbrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1360 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1361 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (208 enodes) * * [misc]simplify: iters left: 1 (298 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1362 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (385 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (cbrt (+ x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1363 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (224 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1364 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (212 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- (/ (sqrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1365 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * [exit]simplify: Simplified to (* (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1))) (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1))) (/ (/ 1 (cbrt (- x 1))) (cbrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1366 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (* (cbrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (cbrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1367 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (cbrt (+ x 1)))))) * * * * [misc]progress: [ 1368 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1369 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (176 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (- (sqrt (+ 1 1)))))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1370 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (149 enodes) * * [misc]simplify: iters left: 1 (322 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 1371 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (191 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (sqrt (+ x 1)) (cbrt (- x 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (sqrt (+ x 1)) (cbrt (- x 1))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (* (sqrt (+ x 1)) (cbrt (- x 1))) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1372 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (188 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (sqrt (- x 1)) (sqrt (+ x 1)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1373 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 1374 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1375 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1376 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1377 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (/ (/ -1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ -1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ -1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1378 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (/ -1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1379 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) -1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (72 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (sqrt (+ x 1))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1380 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (163 enodes) * * [misc]simplify: iters left: 2 (492 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1381 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (108 enodes) * * [misc]simplify: iters left: 2 (292 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (sqrt (+ x 1)) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1382 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1383 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (226 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (fabs (cbrt (+ 1 1)))) (* (sqrt (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1384 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (- (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) (/ (* (sqrt (cbrt (+ 1 1))) (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1385 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (190 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (159 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (- x 1)) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1386 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1387 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1388 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1389 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- (sqrt 1)) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1390 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (364 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1391 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (108 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (+ x 1))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1392 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (* (sqrt (+ x 1)) (cbrt (- x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1393 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (81 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (- x 1)) (sqrt (+ x 1))))) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1394 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (187 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1395 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (- 1) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (- 1) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (+ 1 1) (* (cbrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1396 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (+ 1 1) (* (sqrt (- x 1)) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1397 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (- 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (+ x 1))) (/ (/ (+ 1 1) (- x 1)) (sqrt (+ x 1))))) * * * * [misc]progress: [ 1398 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (114 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (* (cbrt (- x 1)) (cbrt (- x 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1399 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (cbrt (sqrt (+ 1 1))) (/ (* (sqrt (- x 1)) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1400 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (314 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (cbrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1401 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (483 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1402 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (166 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (158 enodes) * [exit]simplify: Simplified to (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (/ (/ (sqrt (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) (- (sqrt (cbrt (+ 1 1))))))) * * * * [misc]progress: [ 1403 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (84 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (234 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (sqrt (cbrt (+ 1 1)))) (* (/ (- x 1) (sqrt (+ 1 1))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1404 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1405 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1406 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1407 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (83 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1408 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (191 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (sqrt (- x 1))) (sqrt (+ x 1))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1409 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1410 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (85 enodes) * * [misc]simplify: iters left: 2 (188 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1))) (* (sqrt (+ x 1)) (cbrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1411 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (200 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (157 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (- (sqrt (+ 1 1))) (* (sqrt (+ x 1)) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1412 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (233 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (sqrt (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1413 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (222 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (* (cbrt (- x 1)) (sqrt (+ x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1414 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (64 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (124 enodes) * [exit]simplify: Simplified to (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (sqrt (+ x 1)) (sqrt (- x 1)))) (/ (/ (- (+ 1 1)) (sqrt (+ x 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1415 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (sqrt (+ x 1)) 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (120 enodes) * * [misc]simplify: iters left: 1 (204 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (+ x 1))) (/ (- (- 1) 1) (* (- x 1) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 1416 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (344 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (- x 1)))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1417 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (sqrt (- x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1418 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (cbrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1419 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (cbrt (- x 1))))))) * * * * [misc]progress: [ 1420 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (- x 1))) (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1))))))) * * * * [misc]progress: [ 1421 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (- (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (- (sqrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1422 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1423 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1424 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1425 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 -1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1426 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 -1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ -1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ -1 (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1427 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 -1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (x) (* -1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* -1 (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1428 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (138 enodes) * * [misc]simplify: iters left: 2 (401 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1429 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (- (cbrt (sqrt (+ 1 1))))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1430 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (- (cbrt (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1431 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1))))) (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1432 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (266 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (fabs (cbrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (/ (* (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (cbrt (+ 1 1)))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1433 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (fabs (cbrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (126 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (fabs (cbrt (+ 1 1)))) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1))) (sqrt (cbrt (+ 1 1)))))) * * * * [misc]progress: [ 1434 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1435 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1436 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1437 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (148 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1438 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (96 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 1)) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1439 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt 1)) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt 1)) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1440 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (312 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1441 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (274 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (- x 1)))) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1442 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (267 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (sqrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (+ x 1) (- x 1)))))) * * * * [misc]progress: [ 1443 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (+ 1 1) (+ x 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1444 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (235 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- 1) (sqrt (- x 1))) (/ (/ (+ 1 1) (+ x 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1445 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (- 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1)))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (231 enodes) * [exit]simplify: Simplified to (/ (/ (+ 1 1) (+ x 1)) (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- 1) (/ (/ (+ 1 1) (+ x 1)) (- x 1)))) * * * * [misc]progress: [ 1446 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1447 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (- x 1))) (cbrt (sqrt (+ 1 1)))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (cbrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1448 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1449 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (71 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (cbrt (- x 1))) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1450 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (71 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (404 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (fabs (cbrt (+ 1 1))) (sqrt (- x 1))) (/ (- (sqrt (cbrt (+ 1 1)))) (/ (* (+ x 1) (sqrt (- x 1))) (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1451 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (fabs (cbrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (161 enodes) * * [misc]simplify: iters left: 1 (363 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (cbrt (+ 1 1))) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (fabs (cbrt (+ 1 1))) (* (/ (sqrt (cbrt (+ 1 1))) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1)))))) * * * * [misc]progress: [ 1452 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1453 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1454 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1455 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (416 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt 1) (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1456 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt 1) (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1457 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt 1) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt 1) (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1458 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (184 enodes) * * [misc]simplify: iters left: 1 (451 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (* (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1459 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (66 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (- x 1))) (* (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) (/ (sqrt (sqrt (+ 1 1))) (+ x 1))))) * * * * [misc]progress: [ 1460 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1)))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (160 enodes) * * [misc]simplify: iters left: 1 (360 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (sqrt (+ 1 1))) (/ (* (- (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1461 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1462 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1463 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ 1 1)) 1) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1464 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1465 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1466 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1467 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (217 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (+ 1 1)) (cbrt (- x 1))))) * * * * [misc]progress: [ 1468 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (/ (/ 1 (+ x 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (+ x 1)) (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (/ (- (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ 1 (+ x 1)) (sqrt (- x 1))) (/ (- (+ 1 1)) (sqrt (- x 1))))) * * * * [misc]progress: [ 1469 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (+ x 1)) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (+ x 1)) (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (- (/ (+ 1 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (+ x 1)) (- (/ (+ 1 1) (- x 1))))) * * * * [misc]progress: [ 1470 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (291 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (/ (- 1) (+ x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (/ (- 1) (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (/ (/ (- 1) (+ x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (sqrt 1)))) * * * * [misc]progress: [ 1471 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (205 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (sqrt 1)))) * * * * [misc]progress: [ 1472 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (+ x 1)) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (* (/ (- 1) (+ x 1)) (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (* (/ (- 1) (+ x 1)) (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 1))))) * * * * [misc]progress: [ 1473 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (287 enodes) * [exit]simplify: Simplified to (/ (- (/ (sqrt 0) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (/ (sqrt 0) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt 0) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (/ (sqrt 0) (+ x 1))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt 0) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1474 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (201 enodes) * [exit]simplify: Simplified to (- (/ (/ (sqrt 0) (+ x 1)) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (- (/ (/ (sqrt 0) (+ x 1)) (sqrt (- x 1)))) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (sqrt 0) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (- (/ (/ (sqrt 0) (+ x 1)) (sqrt (- x 1)))) (/ (sqrt (+ 1 1)) (* (sqrt 0) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1475 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (138 enodes) * * [misc]simplify: iters left: 1 (220 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 0)) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (- (sqrt 0)) (+ x 1)) (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (sqrt (- 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 0))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (- (sqrt 0)) (+ x 1)) (/ (sqrt (+ 1 1)) (* (- x 1) (sqrt 0))))) * * * * [misc]progress: [ 1476 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ 1 (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (- 1) 1) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1477 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (386 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ 1 (sqrt (- x 1))) (/ (- (- 1) 1) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1478 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (* 1 (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (324 enodes) * [exit]simplify: Simplified to (/ (- (- 1) 1) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 1 (/ (- (- 1) 1) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1479 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (cbrt (- x 1))) (cbrt (- x 1))) (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (* (+ x 1) (cbrt (- x 1)))))) * * * * [misc]progress: [ 1480 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (- x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (202 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (* (+ x 1) (sqrt (- x 1)))))) * * * * [misc]progress: [ 1481 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (sqrt (+ 1 1)) (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)))) * [enter]simplify: Simplifying (/ (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1))))) (- x 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (+ x 1) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (sqrt (+ 1 1)) (/ (- (sqrt (+ 1 1))) (* (+ x 1) (- x 1))))) * * * * [misc]progress: [ 1482 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (+ x 1)) (* (cbrt (- x 1)) (cbrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (cbrt (- x 1))))) * * * * [misc]progress: [ 1483 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (* (+ x 1) (sqrt (- x 1)))) (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (+ x 1)) (sqrt (- x 1))) (/ (- (sqrt (+ 1 1))) (sqrt (- x 1))))) * * * * [misc]progress: [ 1484 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (+ 1 1)) (+ x 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (* (/ (sqrt (+ 1 1)) (+ x 1)) (/ (- (sqrt (+ 1 1))) (- x 1)))) * [enter]simplify: Simplifying (/ (- (sqrt (+ 1 1))) (- x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (- x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (sqrt (+ 1 1)) (+ x 1)) (- (/ (sqrt (+ 1 1)) (- x 1))))) * * * * [misc]progress: [ 1485 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 1486 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 1487 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 1488 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (* (cbrt (- x 1)) (cbrt (- x 1)))) (cbrt (- x 1)))) * * * * [misc]progress: [ 1489 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- x 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- x 1)) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (sqrt (- x 1))) (sqrt (- x 1)))) * * * * [misc]progress: [ 1490 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- x 1) * [misc]simplify: Simplified (2 2) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) 1) (- x 1))) * * * * [misc]progress: [ 1491 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (/ (+ 1 1) (+ x 1)))) (cbrt (- (/ (+ 1 1) (+ x 1))))) (/ (- x 1) (cbrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1492 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (sqrt (- (/ (+ 1 1) (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (/ (+ 1 1) (+ x 1)))) (/ (- x 1) (sqrt (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1493 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 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 (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1494 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1495 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (264 enodes) * * [misc]simplify: iters left: 1 (377 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1496 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (133 enodes) * * [misc]simplify: iters left: 1 (164 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1497 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1498 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (171 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1499 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (156 enodes) * * [misc]simplify: iters left: 2 (346 enodes) * * [misc]simplify: iters left: 1 (465 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (/ (sqrt (+ 1 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1500 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (379 enodes) * [exit]simplify: Simplified to (* (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1501 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1502 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1503 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (216 enodes) * * [misc]simplify: iters left: 1 (368 enodes) * [exit]simplify: Simplified to (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt (sqrt (+ 1 1)))) (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1504 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (332 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1505 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 1))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1506 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (170 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1507 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1508 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1509 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (134 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1510 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (223 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1511 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1512 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (sqrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1513 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1514 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1515 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (129 enodes) * * [misc]simplify: iters left: 1 (152 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (- (/ (sqrt (+ 1 1)) (sqrt (+ x 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1516 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (fabs (cbrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (fabs (cbrt (+ 1 1)))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1517 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1518 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1519 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (90 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (- (sqrt (sqrt (+ 1 1))))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1520 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (125 enodes) * * [misc]simplify: iters left: 1 (226 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1521 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 1)) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1522 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1523 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1524 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (* (/ (sqrt 1) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (/ (sqrt 1) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1525 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1526 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1527 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (124 enodes) * * [misc]simplify: iters left: 1 (381 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1))))) (* (cbrt (sqrt (+ 1 1))) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1528 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1529 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1530 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (238 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1531 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (60 enodes) * * [misc]simplify: iters left: 2 (190 enodes) * [exit]simplify: Simplified to (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1532 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (95 enodes) * * [misc]simplify: iters left: 1 (242 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1533 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1534 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt 1) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1535 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (247 enodes) * [exit]simplify: Simplified to (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1536 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1537 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (162 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 1)) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1538 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (140 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1539 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1540 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (sqrt 1) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1541 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1542 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1543 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1544 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1545 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (138 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1546 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (* (* (/ (- (sqrt 0)) (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (/ (- (sqrt 0)) (+ x 1)) (cbrt (sqrt (+ 1 1)))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (cbrt (sqrt (+ 1 1))) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1547 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1548 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1549 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (126 enodes) * [exit]simplify: Simplified to (/ (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1550 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1551 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1552 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1553 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (283 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (* (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1554 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1555 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1556 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1557 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (- (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1558 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (132 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1559 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (67 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1560 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (+ 1 1)) (cbrt (+ x 1))) (/ (cbrt (+ 1 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1561 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1562 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ x 1)))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (fabs (cbrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ x 1)))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1563 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (fabs (cbrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1564 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (71 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1565 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1566 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1567 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [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) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1568 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1569 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (- (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1570 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1571 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1572 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1573 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1574 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1575 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1576 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1577 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1578 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1579 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1580 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (sqrt (+ x 1)) 1)) * * [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) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1581 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1582 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (sqrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1583 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fabs (cbrt (+ 1 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1584 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1585 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (239 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1586 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1587 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1588 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt 1)) (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1589 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1590 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1591 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (fabs (cbrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1592 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (+ 1 1)) (cbrt (+ 1 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1593 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1594 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1595 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1596 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ 1 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fabs (cbrt (+ 1 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1597 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fabs (cbrt (+ 1 1))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1598 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (+ x 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (+ x 1)) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1599 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (/ (+ x 1) (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1600 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (/ (+ x 1) (- (sqrt 0)))) (/ (- x 1) (/ (sqrt (cbrt (+ 1 1))) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1601 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1602 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1603 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1604 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1605 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1606 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1607 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1608 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1609 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1610 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1611 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1612 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1613 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1614 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1615 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1616 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1617 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1618 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1619 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1620 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1621 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1622 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1623 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1624 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1625 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1626 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1627 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1628 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1629 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1630 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1631 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1632 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1633 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1634 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1635 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1636 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1637 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1638 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1639 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1640 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1641 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1642 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1643 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1644 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1645 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1646 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1647 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1648 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1649 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1650 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1651 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1652 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1653 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1654 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1655 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (* (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1))))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1656 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1657 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (sqrt 1) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1658 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1659 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1660 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1661 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (199 enodes) * * [misc]simplify: iters left: 1 (285 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1662 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (78 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1663 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1664 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1665 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1666 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (109 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1667 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (/ (sqrt 1) (cbrt (+ 1 x)))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1668 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1669 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1670 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1671 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1672 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1673 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1674 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1675 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1676 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1677 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1678 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (/ (- (sqrt 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1679 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1680 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- 1) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1681 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (- (sqrt 1)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1682 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1683 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 x)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (cbrt (sqrt (+ 1 1))) (/ (/ (sqrt (+ 1 x)) (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1684 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1685 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1686 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1687 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt 1) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1688 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1689 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt 1)) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt 1)) (cbrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1690 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1691 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1692 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 -1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1693 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (* (- (sqrt 1)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1694 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (- (sqrt 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1695 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1696 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1697 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (- (sqrt 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1698 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1699 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt 1) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1700 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (fabs (cbrt (+ 1 1))) (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1701 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1702 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1703 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1704 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ 1 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1705 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) 1) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1706 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (+ x 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (+ 1 x)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1707 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (* (/ (sqrt 1) (+ 1 x)) (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt 1) (+ 1 x)) (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1708 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (/ (+ 1 x) (sqrt 0))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1709 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (cbrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1710 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ 1 x) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1711 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (121 enodes) * [exit]simplify: Simplified to (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (cbrt (- (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1712 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1713 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1714 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1715 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (112 enodes) * * [misc]simplify: iters left: 2 (198 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (cbrt (+ 1 x)) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1716 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (79 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (- (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1717 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1718 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (/ (- (sqrt 1)) (cbrt (+ 1 x))) (sqrt (sqrt (+ 1 1)))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1719 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (78 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1720 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1721 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (64 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (sqrt (sqrt (+ 1 1)))) (/ (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1722 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (sqrt (+ 1 1))) (cbrt (+ 1 x))) (/ (cbrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1723 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1724 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1725 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt (+ 1 1)) (cbrt (+ 1 x))) (cbrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1726 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1727 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1728 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (sqrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1729 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1730 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) -1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1731 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (59 enodes) * * [misc]simplify: iters left: 2 (91 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1732 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1733 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1734 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (43 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- (sqrt 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1735 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt (+ 1 1)) (sqrt (+ 1 x)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1736 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (- 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1737 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1738 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1739 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1740 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ 1 x)) (sqrt 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1741 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1742 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ 1 x))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1743 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (* (cbrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1744 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (- (sqrt (+ 1 1)))) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1745 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1746 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1747 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (109 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (sqrt (+ 1 1)))) (* (sqrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1748 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1749 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1750 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (41 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (sqrt 1)) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1751 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1752 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (89 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1753 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (56 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1754 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1755 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1756 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt 1) (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1757 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1758 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ 1 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1759 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) 1) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1760 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (+ x 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (+ 1 x)) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1761 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (/ (+ 1 x) (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1762 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (+ 1 1))) (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (/ (+ 1 x) (- (sqrt 0)))) (/ (- x 1) (/ (sqrt (sqrt (+ 1 1))) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1763 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (* (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (cbrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1764 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (/ (+ x 1) (- (sqrt (+ 1 1)))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (/ (+ x 1) (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1765 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (162 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1))) (/ (cbrt (- (sqrt (+ 1 1)))) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1766 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (175 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1767 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1768 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) -1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ -1 (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1769 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (303 enodes) * [exit]simplify: Simplified to (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (- (cbrt (sqrt (+ 1 1)))) (/ (cbrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1770 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (258 enodes) * [exit]simplify: Simplified to (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (fabs (cbrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1771 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1772 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (295 enodes) * [exit]simplify: Simplified to (/ (/ (- (sqrt 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (- (sqrt 1)) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1773 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (290 enodes) * [exit]simplify: Simplified to (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt (sqrt (+ 1 1)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1774 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (- 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (128 enodes) * [exit]simplify: Simplified to (/ (/ (- 1) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (- 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1775 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (165 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1))) (/ (cbrt (sqrt (+ 1 1))) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1776 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (94 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1777 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1778 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (174 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ (sqrt 1) (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1779 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (83 enodes) * * [misc]simplify: iters left: 1 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1780 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (* (cbrt (+ x 1)) (cbrt (+ x 1))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (cbrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1781 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (sqrt (+ 1 1)))) (/ (cbrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1782 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (- (sqrt (+ 1 1)))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1783 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1784 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) -1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ -1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ -1 (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1785 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (146 enodes) * * [misc]simplify: iters left: 1 (353 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (- (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1786 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (- 1) (sqrt (+ x 1))) (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1787 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1788 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (- (sqrt 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- (sqrt 1)) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1789 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (sqrt (+ 1 1))) (/ (- 1) (sqrt (+ x 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1790 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (- 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (- 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (- 1) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1791 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (112 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (/ (cbrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1792 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (fabs (cbrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1793 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1794 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt 1) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1795 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (sqrt (+ 1 1))) (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1796 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (sqrt (+ x 1)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (sqrt (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (sqrt (+ x 1)) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1797 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (- (sqrt (+ 1 1)))) (cbrt (- (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1798 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (- (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (- (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (- (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1799 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1800 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 -1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to -1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ -1 (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1801 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1))))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (cbrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1802 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1))))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (- (fabs (cbrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (fabs (cbrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (cbrt (+ 1 1)))))))) * * * * [misc]progress: [ 1803 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1804 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt 1)))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (- (sqrt 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1805 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- (sqrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (- (sqrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (sqrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1806 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (- 1))) * * [misc]simplify: iters left: 6 (4 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (- 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1807 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (cbrt (sqrt (+ 1 1))) (cbrt (sqrt (+ 1 1)))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (cbrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1808 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (* (cbrt (+ 1 1)) (cbrt (+ 1 1)))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (fabs (cbrt (+ 1 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (cbrt (+ 1 1))))))))) * * * * [misc]progress: [ 1809 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1810 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt 1) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1811 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 (sqrt (sqrt (+ 1 1))))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ 1 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (sqrt (+ 1 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (sqrt (+ 1 1))))))))) * * * * [misc]progress: [ 1812 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ 1 1)) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1813 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 1) to (λ (x) (/ 1 (/ (- x 1) (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1814 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ x 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ 1 (+ x 1)) (/ (- x 1) (/ (sqrt (+ 1 1)) (/ 1 (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1815 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ x 1) (- (sqrt (+ (pow 1 3) (pow 1 3)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (* (sqrt (+ 1 1)) (/ (- 1) (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (* (sqrt (+ 1 1)) (/ (- 1) (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (+ (* 1 1) (- (* 1 1) (* 1 1)))))))) * * * * [misc]progress: [ 1816 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (/ (+ x 1) (- (sqrt (- (* 1 1) (* 1 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (84 enodes) * [exit]simplify: Simplified to (- (/ (sqrt 0) (+ x 1))) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (/ (sqrt 0) (+ x 1))) (/ (- x 1) (/ (sqrt (+ 1 1)) (sqrt (- 1 1)))))) * * * * [misc]progress: [ 1817 / 1831 ] simplifiying candidate # * * * * [misc]progress: [ 1818 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (/ (- x 1) (/ 1 (/ (+ x 1) (- (sqrt (+ 1 1)))))))) * * * * [misc]progress: [ 1819 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (+ 1 1)) (+ x 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (/ (sqrt (+ 1 1)) (+ x 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (/ (sqrt (+ 1 1)) (+ x 1)) (/ (- x 1) (- (sqrt (+ 1 1)))))) * * * * [misc]progress: [ 1820 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* x x) (+ (* 1 1) (* x 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (+ (* x x) (+ 1 x)) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- (pow x 3) (pow 1 3))) (+ (* x x) (+ 1 x)))) * * * * [misc]progress: [ 1821 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (+ x 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 x) * [misc]simplify: Simplified (2 2) to (λ (x) (* (/ (/ (sqrt (+ 1 1)) (/ (+ x 1) (- (sqrt (+ 1 1))))) (- (* x x) (* 1 1))) (+ 1 x))) * * * * [misc]progress: [ 1822 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt (+ 1 1)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (sqrt (+ 1 1)) (* (- x 1) (/ (+ x 1) (- (sqrt (+ 1 1))))))) * * * * [misc]progress: [ 1823 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2)))) (- x 1))) * * * * [misc]progress: [ 1824 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2)))) (- x 1))) * * * * [misc]progress: [ 1825 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (sqrt 2)) (/ x (sqrt 2)))) * * [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 (21 enodes) * [exit]simplify: Simplified to (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (/ (/ (sqrt (+ 1 1)) (- (/ (- 1) (sqrt 2)) (/ x (sqrt 2)))) (- x 1))) * * * * [misc]progress: [ 1826 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (pow (sqrt 2) 2) x) (+ (pow (sqrt 2) 2) (* (pow (sqrt 2) 2) (pow x 2)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (284 enodes) * [exit]simplify: Simplified to (- (- (* 2 x) 2) (* (* x x) 2)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (* 2 x) 2) (* (* x x) 2)) (- x 1))) * * * * [misc]progress: [ 1827 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt 2) 2) (pow x 2)) (+ (/ (pow (sqrt 2) 2) x) (/ (pow (sqrt 2) 2) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (- (/ 2 (* x x)) (/ (/ 2 x) (* x x))) (/ 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (/ 2 (* x x)) (/ (/ 2 x) (* x x))) (/ 2 x)) (- x 1))) * * * * [misc]progress: [ 1828 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ (pow (sqrt 2) 2) (pow x 2)) (+ (/ (pow (sqrt 2) 2) x) (/ (pow (sqrt 2) 2) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (114 enodes) * [exit]simplify: Simplified to (- (- (/ 2 (* x x)) (/ (/ 2 x) (* x x))) (/ 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (/ (- (- (/ 2 (* x x)) (/ (/ 2 x) (* x x))) (/ 2 x)) (- x 1))) * * * * [misc]progress: [ 1829 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (sqrt 2) 2) (+ (* (pow (sqrt 2) 2) (pow x 2)) (* (pow (sqrt 2) 2) (pow x 4)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (96 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (+ 2 (* (+ (pow x 4) (* x x)) 2)) * [misc]simplify: Simplified (2) to (λ (x) (+ 2 (* (+ (pow x 4) (* x x)) 2))) * * * * [misc]progress: [ 1830 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (pow (sqrt 2) 2) (pow x 6)) (+ (/ (pow (sqrt 2) 2) (pow x 4)) (/ (pow (sqrt 2) 2) (pow x 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (/ (- 2) (pow x 4)) (+ (/ 2 (pow x 6)) (/ (/ 2 x) x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 2) (pow x 4)) (+ (/ 2 (pow x 6)) (/ (/ 2 x) x)))) * * * * [misc]progress: [ 1831 / 1831 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (pow (sqrt 2) 2) (pow x 6)) (+ (/ (pow (sqrt 2) 2) (pow x 4)) (/ (pow (sqrt 2) 2) (pow x 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (97 enodes) * [exit]simplify: Simplified to (- (/ (- 2) (pow x 4)) (+ (/ 2 (pow x 6)) (/ (/ 2 x) x))) * [misc]simplify: Simplified (2) to (λ (x) (- (/ (- 2) (pow x 4)) (+ (/ 2 (pow x 6)) (/ (/ 2 x) x)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * [misc]regime: Found split indices: #