* [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 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (log1p x))))))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (315 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: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] 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: [ 13 / 80 ] 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 (- 1 x))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ x 1)) (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: [ 14 / 80 ] 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: [ 15 / 80 ] 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: [ 16 / 80 ] 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: [ 17 / 80 ] 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: [ 18 / 80 ] 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: [ 19 / 80 ] 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: [ 20 / 80 ] 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: [ 21 / 80 ] 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: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] 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: [ 26 / 80 ] 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: [ 27 / 80 ] 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: [ 28 / 80 ] 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: [ 29 / 80 ] 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: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))))))) * * * * [misc]progress: [ 32 / 80 ] 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: [ 33 / 80 ] 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: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 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: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 80 ] 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: [ 53 / 80 ] 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: [ 54 / 80 ] 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: [ 55 / 80 ] 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: [ 56 / 80 ] 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: [ 57 / 80 ] 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: [ 58 / 80 ] 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: [ 59 / 80 ] 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: [ 60 / 80 ] 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: [ 61 / 80 ] 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: [ 62 / 80 ] 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: [ 63 / 80 ] 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: [ 64 / 80 ] 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: [ 65 / 80 ] 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 (27 enodes) * * [misc]simplify: iters left: 3 (29 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: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 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: [ 67 / 80 ] 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: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] 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: [ 70 / 80 ] 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: [ 71 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma 2 (fma x x (- x)) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma 2 (fma x x (- x)) 1))))) * * * * [misc]progress: [ 73 / 80 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)))))) * * * * [misc]progress: [ 74 / 80 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)))))) * * * * [misc]progress: [ 75 / 80 ] 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: [ 76 / 80 ] 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: [ 77 / 80 ] 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: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 79 / 80 ] 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 (94 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 80 / 80 ] 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 (94 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -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 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 2 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 3 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 4 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (+ (- x) 1) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (/ (+ (- x) 1) (+ x 1)) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (/ (+ (- x) 1) (+ x 1)) 0))))) * * * * [misc]progress: [ 5 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (79 enodes) * * [misc]simplify: iters left: 3 (233 enodes) * [exit]simplify: Simplified to (fma (+ x (- (fma x x 1))) (/ x (+ (pow x 3) 1)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (+ x (- (fma x x 1))) (/ x (+ (pow x 3) 1)) (/ 1 (+ x 1))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (+ x (- (fma x x 1))) (/ x (+ (pow x 3) 1)) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 6 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) (cbrt (/ 1 (+ 1 x))) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (140 enodes) * * [misc]simplify: iters left: 2 (234 enodes) * * [misc]simplify: iters left: 1 (419 enodes) * [exit]simplify: Simplified to (+ (/ 1 (+ x 1)) (/ (- x 1) (- (/ 1 x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ 1 (+ x 1)) (/ (- x 1) (- (/ 1 x) x))) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ 1 (+ x 1)) (/ (- x 1) (- (/ 1 x) x))) 0))))) * * * * [misc]progress: [ 7 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 8 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 9 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 10 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) 0))))) * * * * [misc]progress: [ 11 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (fma (- (fma x x 1) x) (/ (- x) (+ (pow x 3) 1)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ (pow x 3) 1)) (/ 1 (+ x 1))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ (pow x 3) 1)) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 12 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (/ 1 (+ 1 x))) (sqrt (/ 1 (+ 1 x))) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (136 enodes) * * [misc]simplify: iters left: 2 (229 enodes) * * [misc]simplify: iters left: 1 (411 enodes) * [exit]simplify: Simplified to (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 13 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 14 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 15 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 16 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) 0))))) * * * * [misc]progress: [ 17 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 18 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 19 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 20 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 21 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (58 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (- (/ 1 (+ x 1)) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ 1 (+ x 1)) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 22 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (61 enodes) * * [misc]simplify: iters left: 2 (80 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (/ (- 1 x) (+ x 1)) 0))))) * * * * [misc]progress: [ 23 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * [exit]simplify: Simplified to (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (- (fma x x 1) x) (/ (- x) (+ 1 (pow x 3))) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 24 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (/ 1 (+ 1 x)) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (134 enodes) * * [misc]simplify: iters left: 2 (235 enodes) * * [misc]simplify: iters left: 1 (444 enodes) * [exit]simplify: Simplified to (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (+ (/ (- x 1) (- (/ 1 x) x)) (/ 1 (+ x 1))) 0))))) * * * * [misc]progress: [ 25 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (42 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * [exit]simplify: Simplified to (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 26 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (172 enodes) * [exit]simplify: Simplified to (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 27 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (194 enodes) * [exit]simplify: Simplified to (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 28 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (fma x x (- 1 x)) (+ 1 (pow x 3))) (/ x (+ x 1))) 0))))) * * * * [misc]progress: [ 29 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (330 enodes) * [exit]simplify: Simplified to (fma (fma x x (- 1 x)) (/ (- x) (+ 1 (pow x 3))) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (fma x x (- 1 x)) (/ (- x) (+ 1 (pow x 3))) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (fma x x (- 1 x)) (/ (- x) (+ 1 (pow x 3))) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) 0))))) * * * * [misc]progress: [ 30 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (+ (pow 1 3) (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (259 enodes) * [exit]simplify: Simplified to (fma (/ x (- 1 (* x x))) (- x 1) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (/ x (- 1 (* x x))) (- x 1) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (/ x (- 1 (* x x))) (- x 1) (/ (fma x x (- 1 x)) (+ 1 (pow x 3)))) 0))))) * * * * [misc]progress: [ 31 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (203 enodes) * * [misc]simplify: iters left: 1 (349 enodes) * [exit]simplify: Simplified to (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 1 x)))) (* (cbrt (/ x (+ 1 x))) (* (cbrt (/ x (+ 1 x))) (cbrt (/ x (+ 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 (45 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) 0))))) * * * * [misc]progress: [ 32 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (362 enodes) * [exit]simplify: Simplified to (- (/ (- 1 x) (fma (- x) x 1)) (/ x (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma (- x) x 1)) (/ x (+ 1 x))) (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 1 x))) (sqrt (/ x (+ 1 x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (/ x (+ 1 x)))) (sqrt (/ x (+ 1 x))) (* (sqrt (/ x (+ 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 (19 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma (- x) x 1)) (/ x (+ 1 x))) 0))))) * * * * [misc]progress: [ 33 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (/ x (+ 1 x)) 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (325 enodes) * [exit]simplify: Simplified to (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1))))))) * [enter]simplify: Simplifying (fma (- (/ x (+ 1 x))) 1 (* (/ x (+ 1 x)) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (fma x (- x) 1)) (/ x (+ 1 x))) 0))))) * * * * [misc]progress: [ 34 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (/ 1 (+ 1 x)) x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (213 enodes) * * [misc]simplify: iters left: 1 (391 enodes) * [exit]simplify: Simplified to (- (/ (- 1 x) (- 1 (* x x))) (/ x (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (- 1 (* x x))) (/ x (+ 1 x))) (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x))))))) * [enter]simplify: Simplifying (fma (- (/ 1 (+ 1 x))) x (* (/ 1 (+ 1 x)) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (65 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (- (/ (- 1 x) (- 1 (* x x))) (/ x (+ 1 x))) 0))))) * * * * [misc]progress: [ 35 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (289 enodes) * [exit]simplify: Simplified to (fma (/ x (+ (pow x 3) 1)) (+ x (- (fma x x 1))) (/ (- 1 x) (fma (- x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (fma (/ x (+ (pow x 3) 1)) (+ x (- (fma x x 1))) (/ (- 1 x) (fma (- x) x 1))) (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3)))))))))) * [enter]simplify: Simplifying (fma (- (+ (* 1 1) (- (* x x) (* 1 x)))) (/ x (+ (pow 1 3) (pow x 3))) (* (+ (* 1 1) (- (* x x) (* 1 x))) (/ x (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (240 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (fma (/ x (+ (pow x 3) 1)) (+ x (- (fma x x 1))) (/ (- 1 x) (fma (- x) x 1))) 0))))) * * * * [misc]progress: [ 36 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (/ 1 (- (* 1 1) (* x x))) (- 1 x) (- (* (- 1 x) (/ x (- (* 1 1) (* x x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (62 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (382 enodes) * [exit]simplify: Simplified to (/ (* (- 1 x) (- 1 x)) (fma x (- x) 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (+ (/ (* (- 1 x) (- 1 x)) (fma x (- x) 1)) (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x)))))))))) * [enter]simplify: Simplifying (fma (- (- 1 x)) (/ x (- (* 1 1) (* x x))) (* (- 1 x) (/ x (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (137 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (/ (* (- 1 x) (- 1 x)) (fma x (- x) 1)) 0))))) * * * * [misc]progress: [ 37 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 (+ 1 x))) (cbrt (/ 1 (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 (+ x 1))) (cbrt (/ 1 (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (fma (* (cbrt (/ 1 (+ x 1))) (cbrt (/ 1 (+ x 1)))) (cbrt (/ 1 (+ 1 x))) (- (/ x (+ 1 x)))))))) * * * * [misc]progress: [ 40 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (fma (sqrt (/ 1 (+ x 1))) (sqrt (/ 1 (+ 1 x))) (- (/ x (+ 1 x)))))))) * * * * [misc]progress: [ 41 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (+ 1 (pow x 3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 1 (+ 1 (pow x 3))) (+ (* 1 1) (- (* x x) (* 1 x))) (- (/ x (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (fma (- x) x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 1 (fma (- x) x 1)) (- 1 x) (- (/ x (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 123 ] 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: [ 46 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 123 ] 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: [ 53 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 (+ 1 x)) (* (+ 1 x) x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (313 enodes) * [exit]simplify: Simplified to (fma (- x) x 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (- x) x 1) (* (+ 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 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (fma (- x) x 1) (* (+ x 1) (+ x 1))))))) * * * * [misc]progress: [ 54 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 123 ] 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: [ 59 / 123 ] 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: [ 60 / 123 ] 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: [ 61 / 123 ] 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: [ 62 / 123 ] 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: [ 63 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (fma x x (- 1 x)) (- (/ 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 (24 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 (* (fma x x (- 1 x)) (- (/ 1 (+ 1 (pow x 3))) (/ x (+ 1 (pow x 3))))))))) * * * * [misc]progress: [ 64 / 123 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (- (/ 1 (fma (- x) x 1)) (/ x (fma (- x) x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (- (/ 1 (fma (- x) x 1)) (/ x (fma (- x) x 1)))))))) * * * * [misc]progress: [ 65 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 123 ] 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: [ 79 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 123 ] 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: [ 91 / 123 ] 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: [ 92 / 123 ] 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: [ 93 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (* (/ 1 (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 94 / 123 ] 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: [ 95 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 100 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 123 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 123 ] 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: [ 108 / 123 ] 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: [ 109 / 123 ] 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: [ 110 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [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))) (fma x x (- 1 x)))))))) * * * * [misc]progress: [ 111 / 123 ] 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: [ 112 / 123 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma 2 (fma x x (- x)) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma 2 (fma x x (- x)) 1))))) * * * * [misc]progress: [ 113 / 123 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)))))) * * * * [misc]progress: [ 114 / 123 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (375 enodes) * [exit]simplify: Simplified to (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 2 x) (- 1 (/ 1 x)) (- 1)))))) * * * * [misc]progress: [ 115 / 123 ] 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: [ 116 / 123 ] 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: [ 117 / 123 ] 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: [ 118 / 123 ] 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 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (fma x x 1) x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (fma x x 1) x) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 119 / 123 ] 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 (pow x 3)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (+ (/ 1 (pow x 3)) (- (/ 1 x) (/ (/ 1 x) x))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 120 / 123 ] 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 (pow x 3)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (+ (/ 1 (pow x 3)) (- (/ 1 x) (/ (/ 1 x) x))) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 121 / 123 ] 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 (37 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (101 enodes) * [exit]simplify: Simplified to (fma x (- 1 x) (pow x 3)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ 1 x)) (fma x (- 1 x) (pow x 3))))))) * * * * [misc]progress: [ 122 / 123 ] 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: [ 123 / 123 ] 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 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 266 ] 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: [ 4 / 266 ] 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: [ 5 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 266 ] 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: [ 7 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 266 ] 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: [ 9 / 266 ] 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: [ 10 / 266 ] 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: [ 11 / 266 ] 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: [ 12 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 266 ] 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: [ 15 / 266 ] 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: [ 16 / 266 ] 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: [ 17 / 266 ] 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: [ 18 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (+ 1 x)) (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (290 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: [ 21 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 266 ] 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: [ 23 / 266 ] 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: [ 24 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 266 ] 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: [ 26 / 266 ] 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: [ 27 / 266 ] 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: [ 28 / 266 ] 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: [ 29 / 266 ] 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 / 266 ] 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: [ 31 / 266 ] 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: [ 32 / 266 ] 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: [ 33 / 266 ] 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: [ 34 / 266 ] 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: [ 35 / 266 ] 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 / 266 ] 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: [ 37 / 266 ] 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: [ 38 / 266 ] 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: [ 39 / 266 ] 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: [ 40 / 266 ] 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: [ 41 / 266 ] 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 / 266 ] 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: [ 43 / 266 ] 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: [ 44 / 266 ] 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: [ 45 / 266 ] 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: [ 46 / 266 ] 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: [ 47 / 266 ] 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 / 266 ] 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: [ 49 / 266 ] 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: [ 50 / 266 ] 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: [ 51 / 266 ] 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: [ 52 / 266 ] 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: [ 53 / 266 ] 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 / 266 ] 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: [ 55 / 266 ] 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: [ 56 / 266 ] 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: [ 57 / 266 ] 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: [ 58 / 266 ] 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: [ 59 / 266 ] 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 / 266 ] 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: [ 61 / 266 ] 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: [ 62 / 266 ] 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: [ 63 / 266 ] 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: [ 64 / 266 ] 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: [ 65 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (fma 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 (fma x x (- 1 x)))))))) * * * * [misc]progress: [ 66 / 266 ] 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: [ 67 / 266 ] 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: [ 68 / 266 ] 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: [ 69 / 266 ] 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: [ 70 / 266 ] 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: [ 71 / 266 ] 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 / 266 ] 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: [ 73 / 266 ] 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: [ 74 / 266 ] 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: [ 75 / 266 ] 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: [ 76 / 266 ] 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: [ 77 / 266 ] 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 / 266 ] 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: [ 79 / 266 ] 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: [ 80 / 266 ] 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: [ 81 / 266 ] 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: [ 82 / 266 ] 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: [ 83 / 266 ] 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 / 266 ] 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: [ 85 / 266 ] 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: [ 86 / 266 ] 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: [ 87 / 266 ] 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: [ 88 / 266 ] 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: [ 89 / 266 ] 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 / 266 ] 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: [ 91 / 266 ] 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: [ 92 / 266 ] 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: [ 93 / 266 ] 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: [ 94 / 266 ] 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: [ 95 / 266 ] 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 / 266 ] 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: [ 97 / 266 ] 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: [ 98 / 266 ] 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: [ 99 / 266 ] 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: [ 100 / 266 ] 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: [ 101 / 266 ] 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 / 266 ] 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: [ 103 / 266 ] 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: [ 104 / 266 ] 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: [ 105 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 266 ] 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: [ 107 / 266 ] 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 (23 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: [ 108 / 266 ] 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 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (fma x (- x) 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (fma x (- x) 1))) (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 109 / 266 ] 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: [ 110 / 266 ] 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: [ 111 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 112 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 113 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 114 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 115 / 266 ] 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: [ 116 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 117 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 118 / 266 ] 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 (158 enodes) * [exit]simplify: Simplified to (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) 3) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) 3))))))) * * * * [misc]progress: [ 119 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 266 ] 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: [ 122 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 124 / 266 ] 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: [ 125 / 266 ] 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: [ 126 / 266 ] 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: [ 127 / 266 ] 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: [ 128 / 266 ] 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: [ 129 / 266 ] 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: [ 130 / 266 ] 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: [ 131 / 266 ] 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: [ 132 / 266 ] 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: [ 133 / 266 ] 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: [ 134 / 266 ] 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: [ 135 / 266 ] 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: [ 136 / 266 ] 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: [ 137 / 266 ] 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: [ 138 / 266 ] 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: [ 139 / 266 ] 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: [ 140 / 266 ] 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: [ 141 / 266 ] 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: [ 142 / 266 ] 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: [ 143 / 266 ] 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: [ 144 / 266 ] 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: [ 145 / 266 ] 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: [ 146 / 266 ] 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: [ 147 / 266 ] 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: [ 148 / 266 ] 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: [ 149 / 266 ] 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: [ 150 / 266 ] 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: [ 151 / 266 ] 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: [ 152 / 266 ] 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: [ 153 / 266 ] 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: [ 154 / 266 ] 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: [ 155 / 266 ] 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: [ 156 / 266 ] 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: [ 157 / 266 ] 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: [ 158 / 266 ] 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: [ 159 / 266 ] 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: [ 160 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 163 / 266 ] 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: [ 164 / 266 ] 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: [ 165 / 266 ] 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: [ 166 / 266 ] 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: [ 167 / 266 ] 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: [ 168 / 266 ] 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: [ 169 / 266 ] 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: [ 170 / 266 ] 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: [ 171 / 266 ] 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: [ 172 / 266 ] 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: [ 173 / 266 ] 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: [ 174 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 175 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (fma 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 (fma x x (- 1 x))))))))) * * * * [misc]progress: [ 176 / 266 ] 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: [ 177 / 266 ] 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 (29 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: [ 178 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (fma (- 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 (fma (- x) x 1)) (* (sqrt (+ 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 179 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 180 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 181 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 182 / 266 ] 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: [ 183 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 184 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 185 / 266 ] 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 (158 enodes) * [exit]simplify: Simplified to (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) 3) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (pow (/ (sqrt (- 1 x)) (sqrt (+ x 1))) 3)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 186 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 187 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 188 / 266 ] 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: [ 189 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 190 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 191 / 266 ] 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: [ 192 / 266 ] 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: [ 193 / 266 ] 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: [ 194 / 266 ] 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: [ 195 / 266 ] 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: [ 196 / 266 ] 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: [ 197 / 266 ] 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: [ 198 / 266 ] 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: [ 199 / 266 ] 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: [ 200 / 266 ] 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: [ 201 / 266 ] 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: [ 202 / 266 ] 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: [ 203 / 266 ] 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: [ 204 / 266 ] 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: [ 205 / 266 ] 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: [ 206 / 266 ] 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: [ 207 / 266 ] 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: [ 208 / 266 ] 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: [ 209 / 266 ] 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: [ 210 / 266 ] 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: [ 211 / 266 ] 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: [ 212 / 266 ] 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: [ 213 / 266 ] 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: [ 214 / 266 ] 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: [ 215 / 266 ] 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: [ 216 / 266 ] 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: [ 217 / 266 ] 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: [ 218 / 266 ] 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: [ 219 / 266 ] 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: [ 220 / 266 ] 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: [ 221 / 266 ] 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: [ 222 / 266 ] 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: [ 223 / 266 ] 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: [ 224 / 266 ] 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: [ 225 / 266 ] 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: [ 226 / 266 ] 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: [ 227 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 229 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 230 / 266 ] 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: [ 231 / 266 ] 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: [ 232 / 266 ] 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: [ 233 / 266 ] 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: [ 234 / 266 ] 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: [ 235 / 266 ] 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: [ 236 / 266 ] 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: [ 237 / 266 ] 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: [ 238 / 266 ] 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: [ 239 / 266 ] 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: [ 240 / 266 ] 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: [ 241 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 242 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (fma 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 (fma x x (- 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 243 / 266 ] 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: [ 244 / 266 ] 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 (29 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: [ 245 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (sqrt (fma (- x) x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (fma (- x) x 1)) (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 246 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 247 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 248 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 249 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 250 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 251 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 252 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 253 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 254 / 266 ] simplifiying candidate # * * * * [misc]progress: [ 255 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma 2 (fma x x (- x)) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma 2 (fma x x (- x)) 1))))) * * * * [misc]progress: [ 256 / 266 ] 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: [ 257 / 266 ] 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: [ 258 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (fma (* 1/2 x) x (- 1 x))))))) * * * * [misc]progress: [ 259 / 266 ] 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: [ 260 / 266 ] 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: [ 261 / 266 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (fma (* 1/2 x) x (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 262 / 266 ] 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: [ 263 / 266 ] 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: [ 264 / 266 ] 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: [ 265 / 266 ] 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: [ 266 / 266 ] 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 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (- (log1p (- x)) (log1p x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log1p (- x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- x))) * [misc]taylor: Taking taylor expansion of (+ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log1p (- x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- x))) * [misc]taylor: Taking taylor expansion of (+ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 -1/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 -1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 -1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 -1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 1) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 1) 2) (pow (* 2 0) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 1) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (- -1/4) into 1/4 * [misc]backup-simplify: Simplify (+ -1/4 1/4) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 -1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 -1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 -1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 -1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 -1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into -1/5 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 1) 5)) (pow 1 5))) (* -60 (/ (* (pow (* 1 1) 3) (pow (* 2 0) 1)) (pow 1 4))) (* 30 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 2)) (pow 1 3))) (* 20 (/ (* (pow (* 1 1) 2) 1 (pow (* 6 0) 1)) (pow 1 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow 1 2))) (* -5 (/ (* (pow (* 1 1) 1) 1 1 (pow (* 24 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow 1 1)))) 120) into 1/5 * [misc]backup-simplify: Simplify (- 1/5) into -1/5 * [misc]backup-simplify: Simplify (+ -1/5 -1/5) into -2/5 * [misc]backup-simplify: Simplify -2/5 into -2/5 * [misc]backup-simplify: Simplify (+ (* -2/5 (pow x 5)) (+ (* -2/3 (pow x 3)) (* -2 x))) into (- (+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))) * [misc]approximate: Taking taylor expansion of (- (log1p (- (/ 1 x))) (log1p (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) (log x)) into (log -1) * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 1/3) into -1/3 * [misc]backup-simplify: Simplify (+ -1/3 -1/3) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (+ (* -2/3 (pow (/ 1 x) 3)) (+ (* -2 (/ 1 x)) (log -1))) into (- (log -1) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) * [misc]approximate: Taking taylor expansion of (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log x)) (- (log x) (log -1))) into (- (log -1)) * [misc]backup-simplify: Simplify (- (log -1)) into (- (log -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow -1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow -1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow -1 1)))) 6) into -1/3 * [misc]backup-simplify: Simplify (- -1/3) into 1/3 * [misc]backup-simplify: Simplify (+ 1/3 1/3) into 2/3 * [misc]backup-simplify: Simplify 2/3 into 2/3 * [misc]backup-simplify: Simplify (+ (* 2/3 (pow (/ 1 (- x)) 3)) (+ (* 2 (/ 1 (- x))) (- (log -1)))) into (- (+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) into (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) into (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) into (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) into (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) into (atan (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 (/ 1 x)))) (log1p (/ 1 (/ 1 x))))))) into (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) into (atan (sqrt (exp (- (log1p (/ 1 x)) (log1p (/ -1 x)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))))) into (atan (sqrt (exp (- (log1p (/ 1 x)) (log1p (/ -1 x)))))) * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (/ 1 x)) (log1p (/ -1 x)))))) into (atan (sqrt (exp (- (log1p (/ 1 x)) (log1p (/ -1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (exp (- (log1p (/ 1 (/ 1 (- x)))) (log1p (/ -1 (/ 1 (- x)))))))) into (atan (sqrt (exp (- (log1p (* -1 x)) (log1p x))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (exp (- (log1p (- x)) (log1p x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- x)) (log1p x)))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- x)) (log1p x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log1p (- x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- x))) * [misc]taylor: Taking taylor expansion of (+ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 1) 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- x)) (log1p x)))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- x)) (log1p x))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- x)) (log1p x)) in x * [misc]taylor: Taking taylor expansion of (log1p (- x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- x))) * [misc]taylor: Taking taylor expansion of (+ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 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 (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 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 (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) (log x)) into (log -1) * [misc]backup-simplify: Simplify (exp (log -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 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (* (exp (log -1)) (+ (* (/ (pow -2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- (/ 1 x))) (log1p (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 x))) (log1p (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (- (log x))) into (log x) * [misc]backup-simplify: Simplify (+ (- (log -1) (log x)) (log x)) into (log -1) * [misc]backup-simplify: Simplify (exp (log -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 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ -1 -1) into -2 * [misc]backup-simplify: Simplify (* (exp (log -1)) (+ (* (/ (pow -2 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 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify (* (exp (log -1)) (+ (* (/ (pow -2 2) 2)) (* (/ (pow 0 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 (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log x)) (- (log x) (log -1))) into (- (log -1)) * [misc]backup-simplify: Simplify (exp (- (log -1))) into (exp (- (log -1))) * [misc]backup-simplify: Simplify (sqrt (exp (- (log -1)))) into (sqrt (exp (- (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (exp (- (log -1))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (- (log -1)))) * [misc]backup-simplify: Simplify (/ (* 2 (exp (- (log -1)))) (* 2 (sqrt (exp (- (log -1)))))) into (sqrt (exp (- (log -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- (log1p (- (/ 1 (- x)))) (log1p (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (- (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (- (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (- (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (- (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (- (log -1) (log x))) into (- (log x) (log -1)) * [misc]backup-simplify: Simplify (+ (- (log x)) (- (log x) (log -1))) into (- (log -1)) * [misc]backup-simplify: Simplify (exp (- (log -1))) into (exp (- (log -1))) * [misc]backup-simplify: Simplify (sqrt (exp (- (log -1)))) into (sqrt (exp (- (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (* (exp (- (log -1))) (+ (* (/ (pow 2 1) 1)))) into (* 2 (exp (- (log -1)))) * [misc]backup-simplify: Simplify (/ (* 2 (exp (- (log -1)))) (* 2 (sqrt (exp (- (log -1)))))) into (sqrt (exp (- (log -1)))) * [misc]backup-simplify: Simplify (sqrt (exp (- (log -1)))) into (sqrt (exp (- (log -1)))) * [misc]backup-simplify: Simplify (sqrt (exp (- (log -1)))) into (sqrt (exp (- (log -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (- -1/2) into 1/2 * [misc]backup-simplify: Simplify (+ -1/2 1/2) into 0 * [misc]backup-simplify: Simplify (* (exp (- (log -1))) (+ (* (/ (pow 2 2) 2)) (* (/ (pow 0 1) 1)))) into (* 2 (exp (- (log -1)))) * [misc]backup-simplify: Simplify (/ (- (* 2 (exp (- (log -1)))) (pow (sqrt (exp (- (log -1)))) 2) (+)) (* 2 (sqrt (exp (- (log -1)))))) into (* 1/2 (sqrt (exp (- (log -1))))) * [misc]backup-simplify: Simplify (* 1/2 (sqrt (exp (- (log -1))))) into (* 1/2 (sqrt (exp (- (log -1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (sqrt (exp (- (log -1))))) (pow (/ 1 (- x)) 2)) (+ (* (sqrt (exp (- (log -1)))) (/ 1 (- x))) (sqrt (exp (- (log -1)))))) into (- (+ (sqrt (exp (- (log -1)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (exp (- (log -1))))))) (* (/ 1 x) (sqrt (exp (- (log -1)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 2) * [misc]approximate: Taking taylor expansion of (log1p x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p x) in x * [misc]taylor: Rewrote expression to (log (+ 1 x)) * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 1/3 * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]backup-simplify: Simplify (+ (* 1/3 (pow x 3)) (+ (* -1/2 (pow x 2)) (* 1 x))) into (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (- (log (/ 1 x))))) into (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (log1p (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]taylor: Taking taylor expansion of (log1p (/ 1 (- x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ 1 (- x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- (log -1) (log x)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* -1/2 (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (log -1) (log (/ 1 (- x)))))) into (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 2 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 3 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (* (- 1 1) (log1p x)))))))) * * * * [misc]progress: [ 4 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 5 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 6 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (log1p x) 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (* (- 1 1) (log1p x)))))))) * * * * [misc]progress: [ 7 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (- x)) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * [enter]simplify: Simplifying (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 8 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (- x)) (- (* (sqrt (log1p x)) (sqrt (log1p x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * [enter]simplify: Simplifying (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to 0 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) 0)))))) * * * * [misc]progress: [ 9 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (fma 1 (log1p (- x)) (- (* (log1p x) 1))) * * [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 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * [enter]simplify: Simplifying (fma (- (log1p x)) 1 (* (log1p x) 1)) * * [misc]simplify: iters left: 4 (6 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (* (- 1 1) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (+ (- (log1p (- x)) (log1p x)) (* (- 1 1) (log1p x)))))))) * * * * [misc]progress: [ 10 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * * [misc]simplify: iters left: 6 (5 enodes) * [exit]simplify: Simplified to (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (log1p x)))))))) * * * * [misc]progress: [ 13 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log1p (- x))) * * [misc]simplify: iters left: 4 (4 enodes) * [exit]simplify: Simplified to (sqrt (log1p (- x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (log1p x)))))))) * * * * [misc]progress: [ 14 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (- x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (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 (exp (log (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 16 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (+ 1 (- x)) (exp (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (20 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (exp (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (log (/ (- 1 x) (exp (log1p x))))))))) * * * * [misc]progress: [ 17 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (- x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (exp (log1p (- x))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (log (/ (exp (log1p (- x))) (+ x 1)))))))) * * * * [misc]progress: [ 18 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (exp (log1p (- x))) (exp (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * * [misc]simplify: iters left: 1 (23 enodes) * [exit]simplify: Simplified to (exp (- (log1p (- x)) (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (log (exp (- (log1p (- x)) (log1p x))))))))) * * * * [misc]progress: [ 19 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (log1p (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (+ (sqrt (log1p (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (* (+ (sqrt (log1p (- x))) (sqrt (log1p x))) (- (sqrt (log1p (- x))) (sqrt (log1p x))))))))) * [enter]simplify: Simplifying (- (sqrt (log1p (- x))) (sqrt (log1p x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (- (sqrt (log1p (- x))) (sqrt (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (* (+ (sqrt (log1p (- x))) (sqrt (log1p x))) (- (sqrt (log1p (- x))) (sqrt (log1p x))))))))) * * * * [misc]progress: [ 30 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log1p (- x)) (log1p x)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (- (log1p (- x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (* 1 (- (log1p (- x)) (log1p x)))))))) * * * * [misc]progress: [ 31 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (73 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * * * * [misc]progress: [ 50 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * * * * [misc]progress: [ 51 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (* (cbrt (log1p (- x))) (cbrt (log1p (- x)))) (cbrt (log1p (- x))) (- (* (log1p x) 1))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * * * * [misc]progress: [ 52 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (63 enodes) * * [misc]simplify: iters left: 1 (67 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * * * * [misc]progress: [ 53 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (sqrt (log1p x)) (sqrt (log1p x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * * * * [misc]progress: [ 54 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma (sqrt (log1p (- x))) (sqrt (log1p (- x))) (- (* (log1p x) 1))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (62 enodes) * * [misc]simplify: iters left: 1 (68 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * * * * [misc]progress: [ 55 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma 1 (log1p (- x)) (- (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x)))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (74 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (cbrt (log1p x))) (* (cbrt (log1p x)) (cbrt (log1p x))) (* (cbrt (log1p x)) (* (cbrt (log1p x)) (cbrt (log1p x))))))))))) * * * * [misc]progress: [ 56 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma 1 (log1p (- x)) (- (* (sqrt (log1p x)) (sqrt (log1p x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (51 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (sqrt (log1p x))) (sqrt (log1p x)) (* (sqrt (log1p x)) (sqrt (log1p x)))))))))) * * * * [misc]progress: [ 57 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (fma 1 (log1p (- x)) (- (* (log1p x) 1))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (69 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log1p (- x)) (log1p x)))) (sqrt (exp (fma (- (log1p x)) 1 (* (log1p x) 1)))))))) * * * * [misc]progress: [ 58 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p (- x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (- x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (log1p (- x)))) (sqrt (exp (- (log1p x)))))))) * * * * [misc]progress: [ 59 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p (- x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (- x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (log1p (- x)))) (sqrt (exp (- (log1p x)))))))) * * * * [misc]progress: [ 60 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (exp (- (log1p (- x)) (log1p x)))) (cbrt (exp (- (log1p (- x)) (log1p x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fabs (cbrt (exp (- (log1p (- x)) (log1p x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (exp (- (log1p (- x)) (log1p x))))) (sqrt (cbrt (exp (- (log1p (- x)) (log1p x))))))))) * * * * [misc]progress: [ 61 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (exp (- (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (exp (- (log1p (- x)) (log1p x))))) (sqrt (sqrt (exp (- (log1p (- x)) (log1p x))))))))) * * * * [misc]progress: [ 62 / 88 ] 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 (exp (- (log1p (- x)) (log1p x)))))))) * * * * [misc]progress: [ 63 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (log1p (- x)))) * * [misc]simplify: iters left: 5 (5 enodes) * [exit]simplify: Simplified to (sqrt (exp (log1p (- x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (exp (log1p (- x)))) (sqrt (exp (log1p x))))))) * * * * [misc]progress: [ 64 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (exp (- (log1p (- x)) (log1p x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * * [misc]simplify: iters left: 2 (24 enodes) * * [misc]simplify: iters left: 1 (30 enodes) * [exit]simplify: Simplified to (sqrt (exp (- (log1p (- x)) (log1p x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (exp (- (log1p (- x)) (log1p x)))))))) * * * * [misc]progress: [ 66 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 88 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 x) (+ (* 2/3 (pow x 3)) (* 2/5 (pow x 5))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (61 enodes) * * [misc]simplify: iters left: 3 (142 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * * [misc]simplify: iters left: 1 (392 enodes) * [exit]simplify: Simplified to (- (* (- 2/5) (pow x 5)) (fma (pow x 3) 2/3 (* 2 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (* (- 2/5) (pow x 5)) (fma (pow x 3) 2/3 (* 2 x)))))))) * * * * [misc]progress: [ 78 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log -1) (+ (* 2 (/ 1 x)) (* 2/3 (/ 1 (pow x 3))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (414 enodes) * [exit]simplify: Simplified to (- (- (log -1) (/ 2 x)) (/ 2/3 (pow x 3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (- (log -1) (/ 2 x)) (/ 2/3 (pow x 3)))))))) * * * * [misc]progress: [ 79 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (/ 1 x)) (+ (* 2/3 (/ 1 (pow x 3))) (log -1)))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (240 enodes) * * [misc]simplify: iters left: 1 (452 enodes) * [exit]simplify: Simplified to (- (/ (- 2/3) (pow x 3)) (+ (/ 2 x) (log -1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (/ (- 2/3) (pow x 3)) (+ (/ 2 x) (log -1)))))))) * * * * [misc]progress: [ 80 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (log1p x))))))) * * * * [misc]progress: [ 81 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * * [misc]simplify: iters left: 1 (31 enodes) * [exit]simplify: Simplified to (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (log1p x))))))) * * * * [misc]progress: [ 82 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (exp (- (log1p (* -1 x)) (log1p 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 (22 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (atan (sqrt (exp (- (log1p (- x)) (log1p x))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (log1p x))))))) * * * * [misc]progress: [ 83 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 84 / 88 ] 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 (94 enodes) * * [misc]simplify: iters left: 3 (203 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 85 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (exp (- (log -1)))) (* 1/2 (* (/ 1 (pow x 2)) (sqrt (exp (- (log -1))))))) (* (/ 1 x) (sqrt (exp (- (log -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (227 enodes) * * [misc]simplify: iters left: 2 (406 enodes) * [exit]simplify: Simplified to (* (sqrt (/ 1 -1)) (+ (- 1 (/ 1 x)) (/ 1/2 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 -1)) (+ (- 1 (/ 1 x)) (/ 1/2 (* x x))))))) * * * * [misc]progress: [ 86 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ x (* 1/3 (pow x 3))) (* 1/2 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * * [misc]simplify: iters left: 2 (193 enodes) * * [misc]simplify: iters left: 1 (249 enodes) * [exit]simplify: Simplified to (fma (pow x 2) (fma 1/3 x (- 1/2)) x) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (fma (pow x 2) (fma 1/3 x (- 1/2)) x))))))) * * * * [misc]progress: [ 87 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (283 enodes) * [exit]simplify: Simplified to (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (- (+ (log x) (/ 1 x)) (/ (/ 1/2 x) x)))))))) * * * * [misc]progress: [ 88 / 88 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 x) (log -1)) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (157 enodes) * * [misc]simplify: iters left: 2 (425 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 x) (log x)) (/ 1/2 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (exp (- (log1p (- x)) (- (+ (/ 1 x) (log x)) (/ 1/2 (* x x))))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * [misc]regime: Found split indices: #