* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 138 additional inputs, on iter 1 have 118 / 256 * * * * [misc]points: Computing exacts on every 8 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 138 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 138 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 77 additional inputs, on iter 2 have 179 / 256 * * * * [misc]points: Computing exacts on every 4 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 77 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 77 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 45 additional inputs, on iter 3 have 211 / 256 * * * * [misc]points: Computing exacts on every 2 of 45 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 45 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 4 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 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 (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log (+ x 1)))))))) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (298 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) 1) (+ x 1)))))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1))))))) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- 1 (pow x 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [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 (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 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 (26 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 56 / 74 ] 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) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (+ (pow x 3) 1))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (* 2 (* x x)) (- 1 (* 2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (+ (* 2 (* x x)) (- 1 (* 2 x))))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (* (* x x) 1/2) (- 1 x))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (/ 1 (* (* x x) (sqrt -1))) (+ 1 (/ 1/2 -1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (/ 1 (* (* x x) (sqrt -1))) (+ 1 (/ 1/2 -1))))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (201 enodes) * * [misc]simplify: iters left: 2 (499 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (/ 1 (* (* x x) (sqrt -1))) (+ 1 (/ 1/2 -1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (/ 1 (* (* x x) (sqrt -1))) (+ 1 (/ 1/2 -1))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [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 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify (- 1) 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) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -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 (- (+ (* -1 (/ 0 -1)))) into 0 * [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) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 x)) (/ x (+ 1 x))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (* (+ (/ 1 x) 1) x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 x))) (/ (/ 1 x) (+ 1 (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (* (+ (/ 1 x) 1) x))))) * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (* (+ (/ 1 x) 1) x))))) into (atan (sqrt (- (/ 1 (+ (/ 1 x) 1)) (/ 1 (* (+ (/ 1 x) 1) x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ (/ 1 (/ 1 x)) 1)) (/ 1 (* (+ (/ 1 (/ 1 x)) 1) (/ 1 x)))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (- (/ 1 (+ 1 (/ 1 (- x)))) (/ (/ 1 (- x)) (+ 1 (/ 1 (- x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))))) into (atan (sqrt (+ (/ 1 (- 1 (/ 1 x))) (/ 1 (* x (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (+ (/ 1 (- 1 (/ 1 (/ 1 (- x))))) (/ 1 (* (/ 1 (- x)) (- 1 (/ 1 (/ 1 (- x))))))))) into (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ 1 (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 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 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 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 (- 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: [ 4 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ x (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ x (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ x (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 3)) (+ (* -1 (pow x 2)) (* 1 x))) into (- (+ x (pow x 3)) (pow x 2)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 x) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 1 1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -1 (/ 1 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (/ 1 (- x)) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 0 -1)) (* 1 (/ 1 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) 1)) into (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (/ 1 (+ 1 x))) (exp (/ x (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (22 enodes) * * [misc]simplify: iters left: 1 (26 enodes) * [exit]simplify: Simplified to (exp (- (/ 1 (+ x 1)) (/ x (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (log (exp (- (/ 1 (+ x 1)) (/ x (+ x 1))))))))) * * * * [misc]progress: [ 2 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 9 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (+ 1 x)) (* (+ 1 x) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (157 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))) * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (38 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))))) * * * * [misc]progress: [ 10 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (+ (sqrt (/ x (+ x 1))) (sqrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (+ (sqrt (/ x (+ x 1))) (sqrt (/ 1 (+ x 1)))) (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x))))))))) * [enter]simplify: Simplifying (- (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x)))) * * [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 (+ x 1))) (sqrt (/ x (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (+ (sqrt (/ 1 (+ 1 x))) (sqrt (/ x (+ 1 x)))) (- (sqrt (/ 1 (+ x 1))) (sqrt (/ x (+ x 1))))))))) * * * * [misc]progress: [ 15 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (- (/ 1 (+ x 1)) (/ x (+ x 1)))))))) * * * * [misc]progress: [ 16 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 (+ 1 x)) (/ x (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (- (/ 1 (+ x 1)) (/ x (+ x 1)))))))) * * * * [misc]progress: [ 17 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ x 1)) (- 1 x)))))) * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ 1 x)) (- 1 x)))))) * * * * [misc]progress: [ 18 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ x 1)) (- 1 x)))))) * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ 1 x)) (- 1 x)))))) * * * * [misc]progress: [ 19 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- (* x x) (- x 1)) (- (/ 1 (+ (pow 1 3) (pow x 3))) (/ x (+ (pow 1 3) (pow x 3))))))))) * [enter]simplify: Simplifying (- (/ 1 (+ (pow 1 3) (pow x 3))) (/ x (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ 1 (pow x 3))) (/ x (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (- (* x x) (- x 1)) (- (/ 1 (+ 1 (pow x 3))) (/ x (+ 1 (pow x 3))))))))) * * * * [misc]progress: [ 20 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (- (/ 1 (- (* 1 1) (* x x))) (/ x (- (* 1 1) (* x x))))))))) * [enter]simplify: Simplifying (- (/ 1 (- (* 1 1) (* x x))) (/ x (- (* 1 1) (* x x)))) * * [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 (- (/ 1 (- 1 (* x x))) (/ x (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (- (/ 1 (- 1 (* x x))) (/ x (- 1 (* x x))))))))) * * * * [misc]progress: [ 21 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 73 ] 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 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (pow (+ 1 x) (- 1)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 31 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 43 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ x 1))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 44 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ (/ 1 1) (+ x 1)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 45 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (* (/ 1 (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 46 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (* (/ 1 (- (* 1 1) (* x x))) (- 1 x)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 47 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 73 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ (/ x (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 58 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ (/ x (sqrt (+ 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 59 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (/ (/ x 1) (+ x 1))))))) * * * * [misc]progress: [ 60 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* (/ x (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1)))))))) * * * * [misc]progress: [ 61 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* (/ x (- (* 1 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 62 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (* 2 (* x x)) (- 1 (* 2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (+ (* 2 (* x x)) (- 1 (* 2 x))))))) * * * * [misc]progress: [ 63 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 64 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (273 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 65 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 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 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))))) * * * * [misc]progress: [ 66 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 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 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))))) * * * * [misc]progress: [ 67 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 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 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ x 1))))))) * * * * [misc]progress: [ 68 / 73 ] 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 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (+ (- 1 x) (* x x)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 69 / 73 ] 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 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 70 / 73 ] 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 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 71 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (pow x 3)) (pow x 2)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (* (+ (* x x) (- 1 x)) x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (* (+ (* x x) (- 1 x)) x)))))) * * * * [misc]progress: [ 72 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (+ (/ 1 (* x x)) (- 1 (/ 1 x)))))))) * * * * [misc]progress: [ 73 / 73 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 2)) 1) (/ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (40 enodes) * [exit]simplify: Simplified to (+ (/ 1 (* x x)) (- 1 (/ 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (+ (/ 1 (* x x)) (- 1 (/ 1 x)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify (+ (* 1 1/2) (+ (* -1 -1) (* 1/2 1))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (* +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (* (- +nan.0) +nan.0)) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* +nan.0 (- +nan.0)) (+ (* (- +nan.0) (- +nan.0)) (* (- +nan.0) +nan.0))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 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 (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 1))) into -1/2 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 1/2 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 (/ (- 0 (pow -1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ -1/8 1)) (* -1 (/ 1/2 1)))) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 x) 2)) (+ (* (- +nan.0) (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ +nan.0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (pow (/ 1 (- x)) 2)) (+ (* (- +nan.0) (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) (/ (sqrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) (/ (sqrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (+ 1 1)))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (pow (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (+ 1 1)))))) * * * * [misc]progress: [ 2 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (pow (/ (- 1 x) (+ x 1)) 1))))) * * * * [misc]progress: [ 3 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (+ 1 1)))))) * * * * [misc]progress: [ 5 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x)))) (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (168 enodes) * [exit]simplify: Simplified to (+ (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))) (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))) (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 7 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x)))) (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [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 (61 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 8 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x))))) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (185 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 9 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (log (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [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 (38 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (91 enodes) * [exit]simplify: Simplified to (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (log (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 10 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 13 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (152 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 14 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 15 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * * [misc]simplify: iters left: 2 (468 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))) * * * * [misc]progress: [ 16 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (sqrt (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 19 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 21 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 x)) (sqrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 22 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 24 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 25 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 26 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 27 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 28 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 1))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 29 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 30 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 31 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 32 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 33 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 34 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 35 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 36 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 37 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 38 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 39 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 40 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt 1))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 41 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 42 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 43 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 44 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 45 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 46 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 47 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 48 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) 1)) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 49 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 50 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 51 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 52 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt 1))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 53 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 54 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 55 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 56 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 57 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 58 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 59 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 60 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ 1 1)) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 61 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) 1) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 62 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (- 1 x))) (/ 1 (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 63 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3))))) (sqrt (+ (* x x) (- 1 x)))))))) * * * * [misc]progress: [ 64 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x))))) (sqrt (- 1 x))))))) * * * * [misc]progress: [ 65 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) * * [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 (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 66 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 67 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [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 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 68 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) (* (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 69 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (* (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 70 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 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 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) (* (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 71 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (* (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 72 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 73 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 74 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 75 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 76 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 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 (/ (fabs (cbrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (sqrt 1)) (* (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 77 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 78 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 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 (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (fabs (cbrt (- 1 x))) (* (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 79 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 80 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 81 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 82 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 83 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 84 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (sqrt (- 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 85 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (* (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 86 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) (* (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 87 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 88 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 89 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 90 / 258 ] 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 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt 1) (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 91 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (* (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 92 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 93 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 94 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 95 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 96 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (sqrt (- 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 97 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (* (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 98 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (* (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 99 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 100 / 258 ] 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 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt 1)) (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 101 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 102 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 103 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (* (/ 1 (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 105 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 (pow x 3)))) (* (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 106 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 107 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (- 1 x))) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 108 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 109 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 110 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 111 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x)))) * * [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 (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (exp (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 112 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (+ x 1)) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (/ (/ (- 1 x) (+ x 1)) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 115 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 116 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 118 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 119 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [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 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 121 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 122 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 123 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 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 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 124 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 125 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 126 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 127 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 128 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 129 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 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 (/ (fabs (cbrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 130 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 131 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 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 (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (fabs (cbrt (- 1 x))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (fabs (cbrt (- 1 x))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 132 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 133 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 134 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 135 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 136 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 137 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 138 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 139 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 140 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 141 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* 1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* 1 (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 142 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 143 / 258 ] 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 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt 1) (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 144 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 145 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 146 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 147 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 148 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 149 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 150 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 151 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 152 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 153 / 258 ] 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 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 154 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 155 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* 1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* 1 (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 156 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 157 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 158 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 159 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 160 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 161 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 162 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 163 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 164 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (/ (sqrt (- 1 x)) 1) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 165 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 166 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (fabs (cbrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 167 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 168 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt 1) (/ (sqrt (+ 1 x)) (sqrt (- 1 x))))))))) * * * * [misc]progress: [ 169 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (sqrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 170 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 171 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* x x) (- 1 x))))))))) * * * * [misc]progress: [ 172 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (* (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 173 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 3))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 (pow x 3))) (* (sqrt (+ 1 x)) (sqrt (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * * * * [misc]progress: [ 174 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 (* x x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 175 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 176 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (sqrt (- 1 x))) (log (sqrt (+ 1 x)))) * * [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 (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (exp (- (log (sqrt (- 1 x))) (log (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 177 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 178 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 179 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (sqrt (- 1 x)) (sqrt (- 1 x))) (sqrt (- 1 x))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (494 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (+ x 1)) (/ (sqrt (+ x 1)) (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (/ (/ (- 1 x) (+ x 1)) (/ (sqrt (+ x 1)) (sqrt (- 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 180 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (- 1 x) (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 183 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 184 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [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 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 186 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 187 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 188 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 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 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (sqrt (- 1 x))) (/ (sqrt 1) (cbrt (sqrt (- 1 x))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 189 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 190 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 191 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 192 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 193 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 194 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 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 (/ (fabs (cbrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 195 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (fabs (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 196 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 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 (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (fabs (cbrt (- 1 x))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (fabs (cbrt (- 1 x))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 197 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 198 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 199 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 200 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 201 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 202 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 203 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (/ (sqrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 204 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (fabs (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 205 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 206 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 207 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt 1) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 208 / 258 ] 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 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt 1) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt 1) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 209 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 210 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 211 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 212 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt 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 (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt 1)) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 213 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) * * [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 (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 214 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (sqrt (- 1 x))) (sqrt (+ 1 x))) * * [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 (sqrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (sqrt (- 1 x))) (/ (sqrt (sqrt (- 1 x))) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 215 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [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 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 216 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [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 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 217 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 218 / 258 ] 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 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt 1)) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 219 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [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 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 220 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 221 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 222 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 223 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 224 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 225 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 226 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 227 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 228 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 229 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) 1) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 230 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (- 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 231 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (fabs (cbrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (- 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 232 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (- 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 233 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt 1) (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 234 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (sqrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (sqrt (- 1 x))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 235 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 236 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* x x) (- 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 237 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 238 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (pow x 3))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 (pow x 3))) (* (sqrt (+ 1 x)) (sqrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 239 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 (* x x))) (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 240 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 241 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 242 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 243 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 245 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 258 ] simplifiying candidate # * * * * [misc]progress: [ 247 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (* 2 (* x x)) (- 1 (* 2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (+ (* 2 (* x x)) (- 1 (* 2 x))))))) * * * * [misc]progress: [ 248 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt +nan.0)))) * * * * [misc]progress: [ 249 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt +nan.0)))) * * * * [misc]progress: [ 250 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (+ (* (* x x) 1/2) (- 1 x))))))) * * * * [misc]progress: [ 251 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) +nan.0))))) * * * * [misc]progress: [ 252 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) +nan.0))))) * * * * [misc]progress: [ 253 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (+ (* (* x x) 1/2) (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 254 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* +nan.0 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 255 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* +nan.0 (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 256 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 257 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 258 / 258 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 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 / 4 ] rewriting at (2 2 1 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]backup-simplify: Simplify (+ (* 2/9 (pow x 2)) (+ (* -2/3 x) 1)) into (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow -1 1/3)) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 x) 2)) (+ (* (* -2/3 (pow -1 1/3)) (/ 1 x)) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow -1 1/3)) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 2/3 (pow -1 1/3)) (/ 1 (- x))) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]backup-simplify: Simplify (+ (* 2/9 (pow x 2)) (+ (* -2/3 x) 1)) into (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow -1 1/3)) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 x) 2)) (+ (* (* -2/3 (pow -1 1/3)) (/ 1 x)) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow -1 1/3)) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 2/3 (pow -1 1/3)) (/ 1 (- x))) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify 2/9 into 2/9 * [misc]backup-simplify: Simplify (+ (* 2/9 (pow x 2)) (+ (* -2/3 x) 1)) into (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* -2/3 (pow -1 1/3)) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 x) 2)) (+ (* (* -2/3 (pow -1 1/3)) (/ 1 x)) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * [misc]approximate: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (pow -1 1/3) into (pow -1 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow -1 1/3)) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (* 2/9 (pow -1 1/3)) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (* 2/9 (pow -1 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 2/3 (pow -1 1/3)) (/ 1 (- x))) (pow -1 1/3))) into (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 x) (+ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 0)) into -2/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 1) 1)))) into -2/3 * [misc]backup-simplify: Simplify (+ (* 1 -2/3) (* -2/3 1)) into -4/3 * [misc]backup-simplify: Simplify -4/3 into -4/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 0))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into 2/9 * [misc]backup-simplify: Simplify (+ (* 1 2/9) (+ (* -2/3 -2/3) (* 2/9 1))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow x 2)) (+ (* -4/3 x) 1)) into (- (+ (* 8/9 (pow x 2)) 1) (* 4/3 x)) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow -1 1/3) (pow -1 1/3)) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1 2) 1/3) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 2) 1)) (pow -1 1)))) 1) into -2 * [misc]backup-simplify: Simplify (+ (* 1/3 -2) (* 0 (log -1))) into -2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 1) 1)))) into (* -2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* -2/3 (pow -1 1/3))) (* (* -2/3 (pow -1 1/3)) (pow -1 1/3))) into (- 4/3) * [misc]backup-simplify: Simplify (- 4/3) into -4/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow -2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/9 (pow -1 1/3))) (+ (* (* -2/3 (pow -1 1/3)) (* -2/3 (pow -1 1/3))) (* (* 2/9 (pow -1 1/3)) (pow -1 1/3)))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow (/ 1 x) 2)) (+ (* -4/3 (/ 1 x)) (pow (pow -1 2) 1/3))) into (- (+ (* 8/9 (/ 1 (pow x 2))) (pow (pow -1 2) 1/3)) (* 4/3 (/ 1 x))) * [misc]approximate: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (pow (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (* 1/3 (log -1)) into (* 1/3 (log -1)) * [misc]backup-simplify: Simplify (exp (* 1/3 (log -1))) into (pow -1 1/3) * [misc]backup-simplify: Simplify (* (pow -1 1/3) (pow -1 1/3)) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow -1 2) 1/3) into (pow (pow -1 2) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -1 1)))) 1) into 2 * [misc]backup-simplify: Simplify (+ (* 1/3 2) (* 0 (log -1))) into 2/3 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 1) 1)))) into (* 2/3 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/3 (pow -1 1/3))) (* (* 2/3 (pow -1 1/3)) (pow -1 1/3))) into 4/3 * [misc]backup-simplify: Simplify 4/3 into 4/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -1 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 2) (* 0 (log -1)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log -1))) (+ (* (/ (pow 2/3 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2/9 (pow -1 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow -1 1/3) (* 2/9 (pow -1 1/3))) (+ (* (* 2/3 (pow -1 1/3)) (* 2/3 (pow -1 1/3))) (* (* 2/9 (pow -1 1/3)) (pow -1 1/3)))) into 8/9 * [misc]backup-simplify: Simplify 8/9 into 8/9 * [misc]backup-simplify: Simplify (+ (* 8/9 (pow (/ 1 (- x)) 2)) (+ (* 4/3 (/ 1 (- x))) (pow (pow -1 2) 1/3))) into (- (+ (* 8/9 (/ 1 (pow x 2))) (pow (pow -1 2) 1/3)) (* 4/3 (/ 1 x))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (cbrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 6 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 7 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 8 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [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 (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 9 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (/ (cbrt (- 1 x)) (+ 1 x))))))))) * * * * [misc]progress: [ 10 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 11 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 12 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (sqrt (- 1 x))) (cbrt (/ (sqrt (- 1 x)) (+ 1 x))))))))) * * * * [misc]progress: [ 13 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 14 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 15 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 16 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 17 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (- 1 x)) (cbrt (/ 1 (+ 1 x))))))))) * * * * [misc]progress: [ 18 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (- 1 x) (+ (pow x 3) 1))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))))))) * * * * [misc]progress: [ 19 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 20 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 21 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (cbrt (/ (- 1 x) (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 30 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 31 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 32 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [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 (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 33 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (/ (cbrt (- 1 x)) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 34 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 35 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 36 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (sqrt (- 1 x))) (cbrt (/ (sqrt (- 1 x)) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 37 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (cbrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 38 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 39 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 40 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 41 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (- 1 x)) (cbrt (/ 1 (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 42 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (- 1 x) (+ (pow x 3) 1))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 43 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (- 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 54 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 55 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 56 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [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 (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 57 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (/ (cbrt (- 1 x)) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 58 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 59 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 60 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (sqrt (- 1 x))) (cbrt (/ (sqrt (- 1 x)) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 61 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (cbrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 62 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 63 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 64 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt 1) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 65 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (- 1 x)) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 66 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ (pow x 3) 1))) (cbrt (+ (* 1 1) (- (* x x) (* 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 67 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (- 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 68 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 69 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (/ (- 1 x) (+ x 1)) (+ 1/3 1/3)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (pow (/ (- 1 x) (+ 1 x)) (+ 1/3 1/3)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 74 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (cbrt (/ (- 1 x) (+ x 1))) (+ 1 1)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (pow (cbrt (/ (- 1 x) (+ 1 x))) (+ 1 1)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 75 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) 1/3) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 76 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1)))) 1) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 77 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (cbrt (/ (- 1 x) (+ x 1))) (+ 1 1)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 79 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (/ (- 1 x) (+ 1 x)))) (log (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (/ (- 1 x) (+ x 1)))) (log (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (exp (+ (log (cbrt (/ (- 1 x) (+ x 1)))) (log (cbrt (/ (- 1 x) (+ x 1)))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 81 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 84 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 88 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 90 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 91 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) * * [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 (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (cbrt (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 92 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 93 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (cbrt (- 1 x)) (+ 1 x))) * * [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 (/ (cbrt (- 1 x)) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1))) (cbrt (/ (cbrt (- 1 x)) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 94 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (cbrt (/ (sqrt (- 1 x)) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 95 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 96 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (+ 1 x))) * * [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 (/ (sqrt (- 1 x)) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (sqrt (- 1 x)) 1))) (cbrt (/ (sqrt (- 1 x)) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 97 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (cbrt (/ (- 1 x) (cbrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 98 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 (sqrt (+ 1 x))))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 99 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ 1 1))) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 100 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt 1)) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 101 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- 1 x))) (cbrt (/ 1 (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 102 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (cbrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))) (cbrt (+ (* x x) (- 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 103 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (- (* 1 1) (* x x))))) (cbrt (- 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 104 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (cbrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 105 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) (sqrt (cbrt (/ (- 1 x) (+ 1 x))))) (sqrt (cbrt (/ (- 1 x) (+ x 1))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 106 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (/ (- 1 x) (+ 1 x))) 1) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 107 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (* (cbrt (/ (- 1 x) (+ x 1))) (cbrt (/ (- 1 x) (+ x 1))))) (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 108 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 109 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (* (cbrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 110 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [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 (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (* (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 111 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (/ (cbrt (- 1 x)) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 112 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [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 (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (* (cbrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 113 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [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 (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (* (cbrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 114 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (sqrt (- 1 x))) (* (cbrt (/ (sqrt (- 1 x)) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 115 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (* (cbrt (/ (- 1 x) (cbrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 116 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (cbrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ 1 (sqrt (+ x 1)))) (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 117 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt 1) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 118 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt 1) (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 119 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [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 (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 120 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ (pow x 3) 1))) (* (cbrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 121 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 122 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (cbrt (/ (- 1 x) (+ x 1))))) (* (cbrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 123 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (* (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x))))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 124 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 125 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (- 1 x))) (cbrt (+ x 1))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 126 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (/ (- 1 x) (+ x 1)))) (cbrt (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 127 / 139 ] simplifiying candidate # * * * * [misc]progress: [ 128 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 2/9 x) x) (- 1 (* x 2/3))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (+ (* (* 2/9 x) x) (- 1 (* x 2/3)))))))) * * * * [misc]progress: [ 129 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1))))))) * * * * [misc]progress: [ 130 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))) (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1))))))) * * * * [misc]progress: [ 131 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 2/9 x) x) (- 1 (* x 2/3))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (+ (* (* 2/9 x) x) (- 1 (* x 2/3)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 132 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 133 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (+ 1 x))) (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 134 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (pow x 2)) 1) (* 2/3 x)) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 2/9 x) x) (- 1 (* x 2/3))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (+ (* (* 2/9 x) x) (- 1 (* x 2/3))) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 135 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 136 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2/9 (* (/ 1 (pow x 2)) (pow -1 1/3))) (pow -1 1/3)) (* 2/3 (* (/ 1 x) (pow -1 1/3)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (235 enodes) * * [misc]simplify: iters left: 2 (485 enodes) * [exit]simplify: Simplified to (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (+ (* (/ (cbrt -1) x) (- (/ 2/9 x) 2/3)) (cbrt -1)) (cbrt (/ (- 1 x) (+ 1 x)))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 137 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8/9 (pow x 2)) 1) (* 4/3 x)) * * [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 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 8/9 x) x) (- 1 (* x 4/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (+ (* (* 8/9 x) x) (- 1 (* x 4/3))) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 138 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8/9 (/ 1 (pow x 2))) (pow (pow -1 2) 1/3)) (* 4/3 (/ 1 x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (cbrt (* -1 -1)) (/ (- 4/3 (/ 8/9 x)) x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- (cbrt (* -1 -1)) (/ (- 4/3 (/ 8/9 x)) x)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 139 / 139 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 8/9 (/ 1 (pow x 2))) (pow (pow -1 2) 1/3)) (* 4/3 (/ 1 x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (197 enodes) * [exit]simplify: Simplified to (- (cbrt (* -1 -1)) (/ (- 4/3 (/ 8/9 x)) x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- (cbrt (* -1 -1)) (/ (- 4/3 (/ 8/9 x)) x)) (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # # #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (/ (- 1 x) (+ 1 x))) * * * * [misc]regimes: Trying to branch on x from (# # # #) * * * * [misc]regimes: Trying to branch on (/ (- 1 x) (+ 1 x)) from (# # # #) * * * [misc]regime: Found split indices: #