* [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 137 additional inputs, on iter 1 have 119 / 256 * * * * [misc]points: Computing exacts on every 8 of 137 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 137 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 137 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 137 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 64 additional inputs, on iter 2 have 192 / 256 * * * * [misc]points: Computing exacts on every 4 of 64 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 64 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 64 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 40 additional inputs, on iter 3 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 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 24 additional inputs, on iter 4 have 232 / 256 * * * * [misc]points: Computing exacts for 24 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 12 additional inputs, on iter 5 have 244 / 256 * * * * [misc]points: Computing exacts for 12 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 8 additional inputs, on iter 6 have 248 / 256 * * * * [misc]points: Computing exacts for 8 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 6 additional inputs, on iter 7 have 250 / 256 * * * * [misc]points: Computing exacts for 6 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 8 have 253 / 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 * * * * [misc]points: Sampling 4 additional inputs, on iter 9 have 255 / 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) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 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: [ 2 / 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: [ 3 / 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: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 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: [ 19 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))) * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (+ (pow x 3) 1))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log (+ x 1)))))))) * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (300 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: [ 39 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * [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: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 47 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) 1) (+ x 1)))))) * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (- (* x x) (- x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (- (* x x) (- x 1))))))) * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (- 1 (pow x 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (pow x 3)) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (* (* x x) 1/2) (- 1 x))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (76 enodes) * [exit]simplify: Simplified to (+ (* 2 (* x x)) (- 1 (* 2 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (+ (* 2 (* x x)) (- 1 (* 2 x))))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (268 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * [misc]progress: 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 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (exp (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 x) (+ 1 x)))) in x * [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 (exp 1) into E * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 x) (+ 1 x)))) in x * [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 (exp 1) into E * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow -1 1) 1)))) into (* -1 E) * [misc]backup-simplify: Simplify (* -1 E) into (* -1 E) * [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 (* (exp 1) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into E * [misc]backup-simplify: Simplify E into E * [misc]backup-simplify: Simplify (+ (* E (pow x 2)) (+ (* (* -1 E) x) E)) into (- (+ (* (pow x 2) E) E) (* x E)) * [misc]approximate: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow (/ 1 (sqrt -1)) 1) 1)))) into (/ (exp (sqrt -1)) (sqrt -1)) * [misc]backup-simplify: Simplify (/ (exp (sqrt -1)) (sqrt -1)) into (/ (exp (sqrt -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 (* (exp (sqrt -1)) (+ (* (/ (pow (/ 1 (sqrt -1)) 2) 2)) (* (/ (pow (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (pow (/ 1 x) 2)) (+ (* (/ (exp (sqrt -1)) (sqrt -1)) (/ 1 x)) (exp (sqrt -1)))) into (- (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 2)))) (+ (exp (sqrt -1)) (/ (exp (sqrt -1)) (* x (sqrt -1))))) (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 3)))) (/ (exp (sqrt -1)) (* (pow x 2) (sqrt -1))))) * [misc]approximate: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow (/ -1 (sqrt -1)) 1) 1)))) into (* -1 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1 (/ (exp (sqrt -1)) (sqrt -1))) into (* -1 (/ (exp (sqrt -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 (* (exp (sqrt -1)) (+ (* (/ (pow (/ -1 (sqrt -1)) 2) 2)) (* (/ (pow (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (* -1 (/ (exp (sqrt -1)) (sqrt -1))) (/ 1 (- x))) (exp (sqrt -1)))) into (- (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 2)))) (+ (exp (sqrt -1)) (/ (exp (sqrt -1)) (* x (sqrt -1))))) (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 3)))) (/ (exp (sqrt -1)) (* (pow x 2) (sqrt -1))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (log (exp (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 x) (+ 1 x)))) in x * [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 (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 x) (+ 1 x)))) in x * [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 (exp 1) into E * [misc]backup-simplify: Simplify (log E) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 1) (+ (* (/ (pow -1 1) 1)))) into (* -1 E) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 E)) 1)) (pow E 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (* (exp 1) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into E * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 E)) 2)) (pow E 2))) (* 1 (/ (* 1 (pow (* 2 E) 1)) (pow E 1)))) 2) 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 (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow (/ 1 (sqrt -1)) 1) 1)))) into (/ (exp (sqrt -1)) (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (/ (exp (sqrt -1)) (sqrt -1))) 1)) (pow (exp (sqrt -1)) 1)))) 1) into (/ 1 (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 (* (exp (sqrt -1)) (+ (* (/ (pow (/ 1 (sqrt -1)) 2) 2)) (* (/ (pow (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (/ (exp (sqrt -1)) (sqrt -1))) 2)) (pow (exp (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))) 1)) (pow (exp (sqrt -1)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) into (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (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 (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [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 (exp (sqrt -1)) into (exp (sqrt -1)) * [misc]backup-simplify: Simplify (log (exp (sqrt -1))) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (* (exp (sqrt -1)) (+ (* (/ (pow (/ -1 (sqrt -1)) 1) 1)))) into (* -1 (/ (exp (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (* -1 (/ (exp (sqrt -1)) (sqrt -1)))) 1)) (pow (exp (sqrt -1)) 1)))) 1) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 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 (* (exp (sqrt -1)) (+ (* (/ (pow (/ -1 (sqrt -1)) 2) 2)) (* (/ (pow (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) 1) 1)))) into (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (* -1 (/ (exp (sqrt -1)) (sqrt -1)))) 2)) (pow (exp (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (* (exp (sqrt -1)) (- (* 1/2 (/ 1 (pow (sqrt -1) 2))) (+ (* 1/2 (/ 1 (pow (sqrt -1) 3))) (/ 1 (sqrt -1)))))) 1)) (pow (exp (sqrt -1)) 1)))) 2) into (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) into (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (+ (/ 1 (pow (sqrt -1) 3)) (* 2 (/ 1 (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: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (sqrt (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (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 (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (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 (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (log (exp (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (log (exp (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: [ 4 / 4 ] generating series at (2 2 1 1 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 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (cbrt (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 3 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (fabs (cbrt (/ (- 1 x) (+ x 1))))) (sqrt (cbrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 4 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (sqrt (/ (- 1 x) (+ x 1))))) (sqrt (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 5 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (exp (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 6 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (exp (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 7 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (exp (fabs (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (fabs (cbrt (- 1 x)))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x)))))))) * * * * [misc]progress: [ 8 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 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 (exp (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 9 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (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 (exp (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 10 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (sqrt (- 1 x)) 1))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (sqrt (- 1 x)))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x)))))))) * * * * [misc]progress: [ 11 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))))) (sqrt (/ (- 1 x) (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 12 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ 1 (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ 1 (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ 1 (sqrt (+ x 1))))) (sqrt (/ (- 1 x) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 13 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ 1 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt 1)) (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 14 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (exp (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt 1)) (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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 (exp (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (- 1 x))) (sqrt (/ 1 (+ 1 x)))))))) * * * * [misc]progress: [ 16 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (+ (pow x 3) 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (- 1 x) (+ (pow x 3) 1)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 17 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (/ (- 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (exp (sqrt (/ (- 1 x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (/ (- 1 x) (- 1 (* x x))))) (sqrt (- 1 x))))))) * * * * [misc]progress: [ 18 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (exp (sqrt (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow (exp (sqrt (sqrt (/ (- 1 x) (+ x 1))))) (sqrt (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 19 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (exp 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to E * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (pow E (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 20 / 101 ] 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 1) to (λ (x) (* 2 (atan (log (exp (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 21 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (exp (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (exp (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (exp (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (exp (sqrt (/ (- 1 x) (+ x 1))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (+ (+ (log (cbrt (exp (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (exp (sqrt (/ (- 1 x) (+ x 1))))))) (log (cbrt (exp (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 28 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (exp (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (log (sqrt (exp (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (+ (log (sqrt (exp (sqrt (/ (- 1 x) (+ x 1)))))) (log (sqrt (exp (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 29 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (+ (log 1) (log (exp (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 30 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (sqrt (/ (- 1 x) (+ x 1)))) (log (exp (* (cbrt (sqrt (/ (- 1 x) (+ 1 x)))) (cbrt (sqrt (/ (- 1 x) (+ 1 x))))))))))) * * * * [misc]progress: [ 32 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (cbrt (/ (- 1 x) (+ x 1)))) (log (exp (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))))))))) * * * * [misc]progress: [ 33 / 101 ] 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)))) (log (exp (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 34 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (log (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))))))) * * * * [misc]progress: [ 35 / 101 ] 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) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (log (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 36 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (- 1 x)) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (+ x 1))) (log (exp (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)))))))) * * * * [misc]progress: [ 37 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (cbrt (+ x 1)))) (log (exp (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))))))) * * * * [misc]progress: [ 38 / 101 ] 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)))) (log (exp (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 39 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (+ x 1))) (log (exp (sqrt (/ (sqrt (- 1 x)) 1)))))))) * * * * [misc]progress: [ 40 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (cbrt (+ x 1)))) (log (exp (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))))))) * * * * [misc]progress: [ 41 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (log (exp (sqrt (/ 1 (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 42 / 101 ] 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 (* (sqrt (/ (- 1 x) (+ x 1))) (log (exp (sqrt (/ 1 1)))))))) * * * * [misc]progress: [ 43 / 101 ] 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 (* (sqrt (/ (- 1 x) (+ x 1))) (log (exp (sqrt 1))))))) * * * * [misc]progress: [ 44 / 101 ] 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) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (+ x 1))) (log (exp (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 45 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (+ (* x x) (- 1 x))) (log (exp (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))))))))) * * * * [misc]progress: [ 46 / 101 ] 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)) (log (exp (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))))))))) * * * * [misc]progress: [ 47 / 101 ] 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)))) (log (exp (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 48 / 101 ] 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 (* (sqrt (/ (- 1 x) (+ x 1))) (log (exp 1)))))) * * * * [misc]progress: [ 49 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 101 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 51 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 71 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 72 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 73 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 74 / 101 ] 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 (36 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (log (exp (* (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))))))))) * * * * [misc]progress: [ 75 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 76 / 101 ] 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 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 77 / 101 ] 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 (log (exp (* (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))))) * * * * [misc]progress: [ 78 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 79 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 80 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 81 / 101 ] 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 (log (exp (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 82 / 101 ] 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 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))))) * * * * [misc]progress: [ 83 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ (pow x 3) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ (- 1 x) (+ (pow x 3) 1))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))))) * * * * [misc]progress: [ 84 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (log (exp (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 85 / 101 ] 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 1) to (λ (x) (* 2 (atan (log (exp (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 86 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 101 ] 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 1 1) to (λ (x) (* 2 (atan (log (exp (fabs (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 88 / 101 ] 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 1) to (λ (x) (* 2 (atan (log (exp (fabs (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 89 / 101 ] simplifiying candidate # * * * * [misc]progress: [ 90 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* (pow x 2) E) E) (* x E)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (102 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (* E (- (* x x) (- x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (log (* E (- (* x x) (- x 1))))))) * * * * [misc]progress: [ 91 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 2)))) (+ (exp (sqrt -1)) (/ (exp (sqrt -1)) (* x (sqrt -1))))) (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 3)))) (/ (exp (sqrt -1)) (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (+ (exp (sqrt -1)) (+ (- (/ (exp (sqrt -1)) (* x (sqrt -1))) (/ (exp (sqrt -1)) (* (* x x) (sqrt -1)))) (* (/ (exp (sqrt -1)) (* x x)) (- (/ 1/2 -1) (/ (/ 1/2 -1) (sqrt -1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (log (+ (exp (sqrt -1)) (+ (- (/ (exp (sqrt -1)) (* x (sqrt -1))) (/ (exp (sqrt -1)) (* (* x x) (sqrt -1)))) (* (/ (exp (sqrt -1)) (* x x)) (- (/ 1/2 -1) (/ (/ 1/2 -1) (sqrt -1)))))))))) * * * * [misc]progress: [ 92 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 2)))) (+ (exp (sqrt -1)) (/ (exp (sqrt -1)) (* x (sqrt -1))))) (+ (* 1/2 (/ (exp (sqrt -1)) (* (pow x 2) (pow (sqrt -1) 3)))) (/ (exp (sqrt -1)) (* (pow x 2) (sqrt -1))))) * * [misc]simplify: iters left: 6 (24 enodes) * * [misc]simplify: iters left: 5 (54 enodes) * * [misc]simplify: iters left: 4 (144 enodes) * * [misc]simplify: iters left: 3 (426 enodes) * [exit]simplify: Simplified to (+ (exp (sqrt -1)) (+ (- (/ (exp (sqrt -1)) (* x (sqrt -1))) (/ (exp (sqrt -1)) (* (* x x) (sqrt -1)))) (* (/ (exp (sqrt -1)) (* x x)) (- (/ 1/2 -1) (/ (/ 1/2 -1) (sqrt -1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (log (+ (exp (sqrt -1)) (+ (- (/ (exp (sqrt -1)) (* x (sqrt -1))) (/ (exp (sqrt -1)) (* (* x x) (sqrt -1)))) (* (/ (exp (sqrt -1)) (* x x)) (- (/ 1/2 -1) (/ (/ 1/2 -1) (sqrt -1)))))))))) * * * * [misc]progress: [ 93 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (* (* x x) 1/2) (- 1 x))))) * * * * [misc]progress: [ 94 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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: [ 95 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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: [ 96 / 101 ] 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: [ 97 / 101 ] 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: [ 98 / 101 ] 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: [ 99 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (log (exp (+ (* (* x x) 1/2) (- 1 x))))))) * * * * [misc]progress: [ 100 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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 1 1) to (λ (x) (* 2 (atan (log (exp (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))))) * * * * [misc]progress: [ 101 / 101 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (92 enodes) * * [misc]simplify: iters left: 3 (219 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 1 1) to (λ (x) (* 2 (atan (log (exp (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* -1/3 1)) into -2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 1/2 1)))) into -7/6 * [misc]backup-simplify: Simplify -7/6 into -7/6 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* -1/3 -1/3) (* -1/9 1))) into -1/9 * [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 (- (/ -1/9 1) (+ (* 1 (/ -1/8 1)) (* -7/6 (/ 1/2 1)))) into 43/72 * [misc]backup-simplify: Simplify 43/72 into 43/72 * [misc]backup-simplify: Simplify (+ (* 43/72 (pow x 2)) (+ (* -7/6 x) 1)) into (- (+ (* 43/72 (pow x 2)) 1) (* 7/6 x)) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [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 (- (/ (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/9 (exp (* 1/3 (- (log -1) (log x)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (/ 1 x)) (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2)))) into (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))))))) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/3 (pow (/ 1 x) 1/3))) (* (* 1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/9 (pow (/ 1 x) 1/3))) (+ (* (* 1/3 (pow (/ 1 x) 1/3)) (* 1/3 (pow (/ 1 x) 1/3))) (* (* -1/9 (pow (/ 1 x) 1/3)) (pow x -1/3)))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) (/ 1 (- x))) (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3)))) into (- (+ (* +nan.0 (pow (/ 1 x) 1/3)) (- (+ (* +nan.0 (pow (pow x 2) 1/3)) (- (* +nan.0 (pow (/ 1 (pow x 4)) 1/3))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* -1/3 1)) into -2/3 * [misc]backup-simplify: Simplify -2/3 into -2/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* -1/3 -1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* -2/3 x) 1)) into (- 1 (+ (* 2/3 x) (* 1/9 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log -1) (log x)))) 2) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/9 (exp (* 1/3 (- (log -1) (log x)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (pow (/ 1 x) 2)) (+ (* (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (/ 1 x)) (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) into (- (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (+ (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (pow (/ 1 (pow x 2)) 1/3) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/3 (pow (/ 1 x) 1/3))) (* (* 1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/9 (pow (/ 1 x) 1/3))) (+ (* (* 1/3 (pow (/ 1 x) 1/3)) (* 1/3 (pow (/ 1 x) 1/3))) (* (* -1/9 (pow (/ 1 x) 1/3)) (pow x -1/3)))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) (pow (/ 1 (- x)) 2)) (+ (* (* 2/3 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3)) (/ 1 (- x))) (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) into (- (pow (pow x 2) 1/3) (+ (* 2/3 (pow (/ 1 x) 1/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (- (/ -1/3 1) (+ (* 1 (/ 1/2 1)))) into -5/6 * [misc]backup-simplify: Simplify -5/6 into -5/6 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (- (/ -1/9 1) (+ (* 1 (/ -1/8 1)) (* -5/6 (/ 1/2 1)))) into 31/72 * [misc]backup-simplify: Simplify 31/72 into 31/72 * [misc]backup-simplify: Simplify (+ (* 31/72 (pow x 2)) (+ (* -5/6 x) 1)) into (- (+ (* 31/72 (pow x 2)) 1) (* 5/6 x)) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (/ (exp (* 1/3 (- (log -1) (log x)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (/ (exp (* 1/3 (- (log -1) (log x)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) into (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (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 +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) +nan.0) (+ (* (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [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 (- (/ (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) +nan.0) (+ (* (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 x))))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 x))))))) (/ 1 x)) (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))))) into (- (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (- (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2)))))))) * [misc]approximate: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (/ (pow x -1/3) +nan.0) into (* +nan.0 (pow (/ 1 x) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (/ (pow x -1/3) +nan.0) into (* +nan.0 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (/ 1 x) 1/3)) into (* +nan.0 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow (/ 1 x) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 x) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 x) 1/3))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ 1 x) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 x) 1/3)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ 1 x) 1/3))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 x) 1/3))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 (- x))) 1/3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (/ 1 (- x))) 1/3))) (/ 1 (- x))) (* +nan.0 (pow (/ 1 (/ 1 (- x))) 1/3)))) into (- (+ (* +nan.0 (pow (/ -1 (pow x 2)) 1/3)) (- (+ (* +nan.0 (pow (* x -1) 1/3)) (- (* +nan.0 (pow (/ -1 (pow x 5)) 1/3))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* -1/3 1)) into -2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 1/2 1)))) into -7/6 * [misc]backup-simplify: Simplify (/ -7/6 (* 2 (sqrt 1))) into -7/12 * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (- (/ -1/3 1) (+ (* 1 (/ 1/2 1)))) into -5/6 * [misc]backup-simplify: Simplify (/ -5/6 (* 2 (sqrt 1))) into -5/12 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* -1/3 1)) into -2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 1/2 1)))) into -7/6 * [misc]backup-simplify: Simplify (/ -7/6 (* 2 (sqrt 1))) into -7/12 * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 x))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (- (/ -1/3 1) (+ (* 1 (/ 1/2 1)))) into -5/6 * [misc]backup-simplify: Simplify (/ -5/6 (* 2 (sqrt 1))) into -5/12 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 -5/12) (* -7/12 1)) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (- (/ -1/9 1) (+ (* 1 (/ -1/8 1)) (* -5/6 (/ 1/2 1)))) into 31/72 * [misc]backup-simplify: Simplify (/ (- 31/72 (pow -5/12 2) (+)) (* 2 1)) into 37/288 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [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 (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* -1/3 -1/3) (* -1/9 1))) into -1/9 * [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 (- (/ -1/9 1) (+ (* 1 (/ -1/8 1)) (* -7/6 (/ 1/2 1)))) into 43/72 * [misc]backup-simplify: Simplify (/ (- 43/72 (pow -7/12 2) (+)) (* 2 1)) into 37/288 * [misc]backup-simplify: Simplify (+ (* 1 37/288) (+ (* -7/12 -5/12) (* 37/288 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 (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) (sqrt (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) (sqrt (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +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 (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [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 (- (/ (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (* 2 (sqrt (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))))) into (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (/ (exp (* 1/3 (- (log -1) (log x)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) into (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +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 (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (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 +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) +nan.0) (+ (* (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) (* 2 (sqrt (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))))) into (* +nan.0 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (/ 1 (sqrt +nan.0)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) (sqrt (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +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 (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [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 (- (/ (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (* 2 (sqrt (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))))) into (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 x))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log 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 (+ 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 (/ (exp (* 1/3 (- (log -1) (log x)))) +nan.0) into (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) into (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +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 (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (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 +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) +nan.0) (+ (* (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) (* 2 (sqrt (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))))) into (* +nan.0 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (/ 1 (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (* (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)) (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +nan.0))) into (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (pow (sqrt +nan.0) 2)) into (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)) (* +nan.0 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (/ 1 (sqrt +nan.0))))) (* (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0))) (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +nan.0)))) into (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))) into (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [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 (- (/ (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) +nan.0) (+ (* (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) * [misc]backup-simplify: Simplify (/ (- (- (* +nan.0 (exp (* 1/3 (- (log -1) (log x)))))) (pow (* +nan.0 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +nan.0)))) into (* -1/2 (* (sqrt (/ 1 (exp (* 1/3 (- (log -1) (log x)))))) (/ (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (pow (sqrt +nan.0) 2))))) (sqrt +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 (/ (+ (* -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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [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) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/9 (exp (* 1/3 (- (log -1) (log x)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 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 (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (/ (- (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (pow (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0))) 2) (+)) (* 2 (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)))) into (* -1/2 (/ (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)))) (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (+ (* (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)) (* -1/2 (* (sqrt (/ 1 (exp (* 1/3 (- (log -1) (log x)))))) (/ (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log x))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (pow (sqrt +nan.0) 2))))) (sqrt +nan.0))))) (+ (* (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0))) (* +nan.0 (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (/ 1 (sqrt +nan.0))))) (* (* -1/2 (/ (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) (pow (sqrt +nan.0) 2))) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)))) (* (exp (* 1/3 (- (log -1) (log x)))) (sqrt +nan.0)))) (* (sqrt (exp (* 1/3 (- (log -1) (log x))))) (sqrt +nan.0))))) into (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))))) into (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log x)))) 3)))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)))))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)))) (/ 1 x)) (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (pow (sqrt +nan.0) 2)))) into (- (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 (pow x 2)))) (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2))))) (- (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 x)))))))) * [misc]approximate: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) (sqrt (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) (sqrt (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (* (pow (/ 1 x) 1/3) (sqrt +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 (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/3 (pow (/ 1 x) 1/3))) (* (* 1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (* 2 (sqrt (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))))) into (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (sqrt +nan.0)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (/ (pow x -1/3) +nan.0) into (* +nan.0 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (/ 1 x) 1/3))) into (* (pow (/ 1 x) 1/6) (sqrt +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 (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow (/ 1 x) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 x) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (/ 1 x) 1/3))) (* 2 (sqrt (* +nan.0 (pow (/ 1 x) 1/3))))) into (* +nan.0 (* (pow (/ 1 x) 1/6) (/ 1 (sqrt +nan.0)))) * [misc]taylor: Taking taylor expansion of (* (sqrt (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) (sqrt (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (sqrt (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (* (pow (/ 1 x) 1/3) (sqrt +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 (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/3 (pow (/ 1 x) 1/3))) (* (* 1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (* 2 (sqrt (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))))) into (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (sqrt +nan.0)))) * [misc]taylor: Taking taylor expansion of (sqrt (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (cbrt (- 1 (/ 1 (- x)))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [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 (/ (pow x -1/3) +nan.0) into (* +nan.0 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (sqrt (* +nan.0 (pow (/ 1 x) 1/3))) into (* (pow (/ 1 x) 1/6) (sqrt +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 (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 1/3 (pow (/ 1 x) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 x) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (/ (- (* +nan.0 (pow (/ 1 x) 1/3))) (* 2 (sqrt (* +nan.0 (pow (/ 1 x) 1/3))))) into (* +nan.0 (* (pow (/ 1 x) 1/6) (/ 1 (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (* (* (pow (/ 1 x) 1/3) (sqrt +nan.0)) (* (pow (/ 1 x) 1/6) (sqrt +nan.0))) into (* (sqrt (/ 1 x)) (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (* (sqrt (/ 1 x)) (pow (sqrt +nan.0) 2)) into (* (sqrt (/ 1 x)) (pow (sqrt +nan.0) 2)) * [misc]backup-simplify: Simplify (+ (* (* (pow (/ 1 x) 1/3) (sqrt +nan.0)) (* +nan.0 (* (pow (/ 1 x) 1/6) (/ 1 (sqrt +nan.0))))) (* (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (sqrt +nan.0)))) (* (pow (/ 1 x) 1/6) (sqrt +nan.0)))) into (- (* +nan.0 (sqrt (/ 1 x)))) * [misc]backup-simplify: Simplify (- (* +nan.0 (sqrt (/ 1 x)))) into (- (* +nan.0 (sqrt (/ 1 x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* -1/9 (pow (/ 1 x) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 x) 1/3)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ 1 x) 1/3))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 x) 1/3))) * [misc]backup-simplify: Simplify (/ (- (- (* +nan.0 (pow (/ 1 x) 1/3))) (pow (* +nan.0 (* (pow (/ 1 x) 1/6) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (pow (/ 1 x) 1/6) (sqrt +nan.0)))) into (* -1/2 (* (pow x 1/6) (/ (+ (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (pow (/ 1 x) 1/3)))) (sqrt +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 (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -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) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/9 (pow (/ 1 x) 1/3))) (+ (* (* 1/3 (pow (/ 1 x) 1/3)) (* 1/3 (pow (/ 1 x) 1/3))) (* (* -1/9 (pow (/ 1 x) 1/3)) (pow x -1/3)))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (/ (- (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (pow (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (sqrt +nan.0)))) 2) (+)) (* 2 (* (pow (/ 1 x) 1/3) (sqrt +nan.0)))) into (* -1/2 (* (pow x 1/3) (/ (+ (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (- (* +nan.0 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow (sqrt +nan.0) 2)))))) (sqrt +nan.0)))) * [misc]backup-simplify: Simplify (+ (* (* (pow (/ 1 x) 1/3) (sqrt +nan.0)) (* -1/2 (* (pow x 1/6) (/ (+ (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (pow (sqrt +nan.0) 2)))) (- (* +nan.0 (pow (/ 1 x) 1/3)))) (sqrt +nan.0))))) (+ (* (* +nan.0 (* (pow (/ 1 x) 1/3) (/ 1 (sqrt +nan.0)))) (* +nan.0 (* (pow (/ 1 x) 1/6) (/ 1 (sqrt +nan.0))))) (* (* -1/2 (* (pow x 1/3) (/ (+ (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (- (* +nan.0 (* (pow (/ 1 (pow x 2)) 1/3) (/ 1 (pow (sqrt +nan.0) 2)))))) (sqrt +nan.0)))) (* (pow (/ 1 x) 1/6) (sqrt +nan.0))))) into (- (+ (* +nan.0 (sqrt (/ 1 x))) (- (* +nan.0 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt +nan.0) 2))))))) * [misc]backup-simplify: Simplify (- (+ (* +nan.0 (sqrt (/ 1 x))) (- (* +nan.0 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt +nan.0) 2))))))) into (- (+ (* +nan.0 (sqrt (/ 1 x))) (- (* +nan.0 (* (sqrt (/ 1 x)) (/ 1 (pow (sqrt +nan.0) 2))))))) * [misc]backup-simplify: Simplify (+ (* (- (+ (* +nan.0 (sqrt (/ 1 (/ 1 (- x))))) (- (* +nan.0 (* (sqrt (/ 1 (/ 1 (- x)))) (/ 1 (pow (sqrt +nan.0) 2))))))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (sqrt (/ 1 (/ 1 (- x)))))) (/ 1 (- x))) (* (sqrt (/ 1 (/ 1 (- x)))) (pow (sqrt +nan.0) 2)))) into (- (* (sqrt (* -1 x)) (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ (sqrt (* -1 x)) x)) (- (+ (* +nan.0 (/ (sqrt (* -1 x)) (pow x 2))) (- (* +nan.0 (/ (sqrt (* -1 x)) (* (pow x 2) (pow (sqrt +nan.0) 2))))))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (cbrt (- 1 x))) (log (cbrt (- 1 x)))) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- 1 x))) (- (log (sqrt (+ x 1))) (log (cbrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (- (log (cbrt (- 1 x))) (- (log (sqrt (+ x 1))) (log (cbrt (- 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 3 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (sqrt (+ 1 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 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- 1 x))) (log (sqrt (+ x 1)))) (log (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (exp (+ (- (log (cbrt (- 1 x))) (log (sqrt (+ x 1)))) (log (cbrt (- 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 4 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 1 x) (- 1 x)) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (451 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (* (/ (+ x 1) (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (cbrt (/ (- 1 x) (* (/ (+ x 1) (- 1 x)) (sqrt (+ x 1)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 7 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (266 enodes) * [exit]simplify: Simplified to (/ (* (- 1 x) (/ (- 1 x) (+ x 1))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (cbrt (/ (* (- 1 x) (/ (- 1 x) (+ x 1))) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 8 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 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 (* (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 13 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 14 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (/ (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 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 16 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 17 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 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 (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (/ (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 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 18 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 22 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 23 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 24 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 25 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 26 / 225 ] 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 (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 27 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ 1 x)) (cbrt (- 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 28 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* x x) (- 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 29 / 225 ] 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 (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 30 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (pow 1 3) (pow x 3)))) * * [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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 (pow x 3)))) (* (sqrt (+ 1 x)) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 31 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (sqrt (+ 1 x)) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 32 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (sqrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 33 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 34 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) (* (sqrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 35 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- (* 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) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 36 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) (* (sqrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 37 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 38 / 225 ] 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 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 39 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (cbrt (- 1 x)) (+ 1 1)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (cbrt (- 1 x)) (+ 1 1)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 40 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (* (- 1 x) (- 1 x)) 1/3) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 41 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 42 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (pow (cbrt (- 1 x)) (+ 1 1)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (- 1 x))) (log (cbrt (- 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 (+ (log (cbrt (- 1 x))) (log (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (exp (+ (log (cbrt (- 1 x))) (log (cbrt (- 1 x))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 46 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (32 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (* (- 1 x) (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (pow 1 3) (pow x 3)))) * * [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 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (* (cbrt (+ (* x x) (+ 1 x))) (cbrt (+ (* x x) (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ (* x x) (+ 1 x))) (cbrt (+ (* x x) (+ 1 x))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (+ 1 x)) (cbrt (+ (* x x) (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ 1 x)) (cbrt (+ (* x x) (+ 1 x))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 54 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (cbrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ (* x x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (pow x 3)))) (* (cbrt (+ x 1)) (cbrt (+ (* x x) (+ x 1))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 55 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 56 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x))))) (cbrt (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 58 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (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 (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) (cbrt (sqrt (- 1 x)))) (cbrt (sqrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 59 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) (cbrt 1)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 60 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x))))) (cbrt (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 61 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) (sqrt (cbrt (- 1 x)))) (sqrt (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 62 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (- 1 x)) 1) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 63 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1 x)) (cbrt (- 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 (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (cbrt (- 1 x))) (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 64 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (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 (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (sqrt (- 1 x))) (* (cbrt (sqrt (- 1 x))) (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 65 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt 1) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 66 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (* (cbrt (cbrt (- 1 x))) (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 67 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (sqrt (cbrt (- 1 x))) (* (sqrt (cbrt (- 1 x))) (cbrt (- 1 x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 68 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (cbrt (+ (+ 1 x) (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3)))) (cbrt (+ (+ 1 x) (* x x)))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 70 / 225 ] 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 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (cbrt (+ x 1))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 71 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 (pow x 3))) (cbrt (- 1 x))) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 72 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (cbrt (+ 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 73 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (cbrt (- 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 (cbrt (- 1 x))) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (exp (- (log (cbrt (- 1 x))) (log (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 76 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (+ x 1)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (cbrt (/ (/ (- 1 x) (+ x 1)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 79 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (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 (18 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 84 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (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 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (fabs (cbrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (fabs (cbrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 85 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 86 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 87 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 88 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 89 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 90 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 91 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 92 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (sqrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (sqrt 1)) (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (sqrt 1)) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 93 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 94 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (sqrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt (sqrt (- 1 x))) (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 95 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 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 (/ (/ (cbrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (/ (cbrt 1) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 96 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 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 (/ (cbrt 1) (fabs (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (fabs (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (fabs (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 97 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 98 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt 1)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt 1)) (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 99 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 100 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt 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 (cbrt 1) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt 1) (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt 1) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 101 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 102 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 103 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 104 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (/ (sqrt 1) (cbrt (cbrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (cbrt (- 1 x))) (/ (sqrt 1) (cbrt (cbrt (- 1 x))))) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt 1)) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 105 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (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 (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 106 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 107 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 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 (cbrt (- 1 x))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 108 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 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 (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 109 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 110 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 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 (cbrt (- 1 x))) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (cbrt (- 1 x))) (sqrt 1)) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 111 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 112 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (cbrt (- 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 (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (sqrt (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (sqrt (cbrt (- 1 x))) (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 113 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 114 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 115 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 116 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt 1)) (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 117 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 118 / 225 ] 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 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* 1 (/ (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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* 1 (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 119 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 120 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 121 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 122 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 123 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 124 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 125 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt 1)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 126 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 127 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (/ (cbrt (- 1 x)) 1) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 128 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1 x)) (cbrt (- 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 (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (/ (sqrt (+ 1 x)) (cbrt (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 129 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (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 (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (/ (sqrt (+ 1 x)) (cbrt (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 130 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (/ (sqrt (+ 1 x)) (cbrt (- 1 x))))))))) * * * * [misc]progress: [ 131 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 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 (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (/ (sqrt (+ 1 x)) (cbrt (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 132 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (/ (sqrt (+ 1 x)) (sqrt (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 133 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 134 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (51 enodes) * [exit]simplify: Simplified to (sqrt (+ (* x x) (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (+ (* x x) (- 1 x))))))))) * * * * [misc]progress: [ 135 / 225 ] 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 2 1 2) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 136 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (25 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (pow x 3))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 (pow x 3))) (* (sqrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * * * * [misc]progress: [ 137 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 (* x x))) (* (sqrt (+ 1 x)) (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 138 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (pow (/ (- 1 x) (+ x 1)) 1/2)))) * * * * [misc]progress: [ 139 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (pow (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) 1)))) * * * * [misc]progress: [ 140 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 141 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (log (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (log (sqrt (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (exp (+ (log (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (log (sqrt (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 142 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 143 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 144 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (* (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ x 1))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (cbrt (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ x 1))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 145 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 146 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 147 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (70 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 148 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 149 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (cbrt (- 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (* (fabs (cbrt (- 1 x))) (sqrt (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (* (fabs (cbrt (- 1 x))) (sqrt (cbrt (- 1 x)))) (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (* (sqrt (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (/ (* (fabs (cbrt (- 1 x))) (sqrt (cbrt (- 1 x)))) (sqrt (+ x 1)))))) * * * * [misc]progress: [ 150 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 151 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (* (cbrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))) (cbrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))) (cbrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 152 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (/ (cbrt (- 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 (sqrt (cbrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (* (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (cbrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))) (sqrt (cbrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 153 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (cbrt (- 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 (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))) (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 154 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 155 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 156 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 157 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 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 (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt 1)))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 158 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 159 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 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 (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) 1))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 160 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (cbrt (sqrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 161 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 162 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 163 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (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 (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt 1)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 164 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 165 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (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 (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (sqrt (- 1 x))) 1))) (sqrt (/ (cbrt (sqrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 166 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 167 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 168 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 169 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (sqrt 1)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 170 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 171 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt 1) 1))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 172 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 173 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 174 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 175 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 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 (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt 1)))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 176 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 177 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (cbrt (- 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 (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (* (cbrt (cbrt (- 1 x))) (cbrt (cbrt (- 1 x)))) 1))) (sqrt (/ (cbrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 178 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (sqrt (cbrt (- 1 x))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 179 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 180 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 181 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 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 (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt 1)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 182 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 183 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (cbrt (- 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 (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (sqrt (cbrt (- 1 x))) 1))) (sqrt (/ (sqrt (cbrt (- 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 184 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 185 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 186 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 187 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 (sqrt 1)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 188 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 (sqrt (sqrt (+ 1 x)))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 189 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ 1 1))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 190 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt 1)) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 191 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (cbrt (- 1 x)))) (sqrt (/ 1 (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 192 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (53 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ (- 1 x) (* x x)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ (pow 1 3) (pow x 3)))))) (sqrt (sqrt (+ (- 1 x) (* x x)))))))) * * * * [misc]progress: [ 193 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))))) (sqrt (sqrt (- 1 x))))))) * * * * [misc]progress: [ 194 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (cbrt (- 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 (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))) (sqrt (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 195 / 225 ] 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 2) to (λ (x) (* 2 (atan (* (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) 1) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 196 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (cbrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))) (cbrt (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (* (cbrt (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))) (cbrt (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))))) (* (cbrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 197 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 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 (fabs (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))) (* (sqrt (cbrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 198 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (sqrt (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) (* (sqrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 199 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 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 (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (* (sqrt (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 200 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) (* (sqrt (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 201 / 225 ] 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) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (* (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 202 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 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 (/ (cbrt (- 1 x)) (sqrt 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (sqrt 1))) (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 203 / 225 ] 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) to (λ (x) (* 2 (atan (* (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (* (sqrt (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 204 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (cbrt (- 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 (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (cbrt (- 1 x))) (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 205 / 225 ] 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 (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 206 / 225 ] 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) to (λ (x) (* 2 (atan (* (fabs (cbrt (- 1 x))) (* (sqrt (/ 1 (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 207 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 (pow x 3))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 (pow x 3))))) (* (sqrt (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 208 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x 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 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x))))) (* (sqrt (sqrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 209 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (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 (sqrt (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (cbrt (- 1 x)) (/ (sqrt (+ x 1)) (cbrt (- 1 x)))))) (* (sqrt (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 210 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 211 / 225 ] 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 2) to (λ (x) (* 2 (atan (/ (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (cbrt (- 1 x)))) (sqrt (sqrt (+ x 1))))))) * * * * [misc]progress: [ 212 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 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 (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (fabs (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (* (sqrt (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (fabs (cbrt (- 1 x)))) (sqrt (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 213 / 225 ] simplifiying candidate # * * * * [misc]progress: [ 214 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 43/72 (pow x 2)) 1) (* 7/6 x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 43/72 x) x) (- 1 (* x 7/6))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (+ (* (* 43/72 x) x) (- 1 (* x 7/6)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 215 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (* (sqrt +nan.0) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 216 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow (/ 1 x) 1/3)) (- (+ (* +nan.0 (pow (pow x 2) 1/3)) (- (* +nan.0 (pow (/ 1 (pow x 4)) 1/3))))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (* (sqrt +nan.0) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 217 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 2/3 x) (* 1/9 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (70 enodes) * * [misc]simplify: iters left: 2 (114 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (- (- 1 (* x 2/3)) (* (* 1/9 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- (- 1 (* x 2/3)) (* (* 1/9 x) x)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 218 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (+ (* 1/9 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (* 2/3 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (202 enodes) * [exit]simplify: Simplified to (- (* (* (pow -1 1/3) (pow x 1/3)) (* (pow -1 1/3) (pow x 1/3))) (* (/ (* (pow -1 1/3) (pow x 1/3)) x) (* (* (pow -1 1/3) (pow x 1/3)) (+ 2/3 (/ 1/9 x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- (* (* (pow -1 1/3) (pow x 1/3)) (* (pow -1 1/3) (pow x 1/3))) (* (/ (* (pow -1 1/3) (pow x 1/3)) x) (* (* (pow -1 1/3) (pow x 1/3)) (+ 2/3 (/ 1/9 x))))) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 219 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (pow x 2) 1/3) (+ (* 2/3 (pow (/ 1 x) 1/3)) (* 1/9 (pow (/ 1 (pow x 4)) 1/3)))) * * [misc]simplify: iters left: 6 (18 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (88 enodes) * [exit]simplify: Simplified to (- (- (cbrt (* x x)) (* (cbrt (/ 1 x)) 2/3)) (* (cbrt (/ 1 (pow x 4))) 1/9)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- (- (cbrt (* x x)) (* (cbrt (/ 1 x)) 2/3)) (* (cbrt (/ 1 (pow x 4))) 1/9)) (sqrt (+ 1 x)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 220 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 31/72 (pow x 2)) 1) (* 5/6 x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (+ (* (* 31/72 x) x) (- 1 (* x 5/6))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt (+ (* (* 31/72 x) x) (- 1 (* x 5/6)))))))) * * * * [misc]progress: [ 221 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (- (+ (* +nan.0 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (- (* +nan.0 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2)))))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt +nan.0))))) * * * * [misc]progress: [ 222 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow (/ -1 (pow x 2)) 1/3)) (- (+ (* +nan.0 (pow (* x -1) 1/3)) (- (* +nan.0 (pow (/ -1 (pow x 5)) 1/3))))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) (sqrt +nan.0))))) * * * * [misc]progress: [ 223 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (52 enodes) * [exit]simplify: Simplified to (+ (* (* x x) 1/2) (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (* (* x x) 1/2) (- 1 x))))) * * * * [misc]progress: [ 224 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 (pow x 2)))) (- (+ (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 (* (pow x 2) (pow (sqrt +nan.0) 2))))) (- (* +nan.0 (* (sqrt (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 3)) (/ 1 x)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan +nan.0))) * * * * [misc]progress: [ 225 / 225 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (sqrt (* -1 x)) (pow (sqrt +nan.0) 2)) (+ (* +nan.0 (/ (sqrt (* -1 x)) x)) (- (+ (* +nan.0 (/ (sqrt (* -1 x)) (pow x 2))) (- (* +nan.0 (/ (sqrt (* -1 x)) (* (pow x 2) (pow (sqrt +nan.0) 2))))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan +nan.0))) * * * [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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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]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)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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]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)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (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))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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]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))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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]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)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (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)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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]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)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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]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)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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]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)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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]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)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 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)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ x 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]approximate: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (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))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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]taylor: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 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)))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * [misc]approximate: Taking taylor expansion of (* (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) (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)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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)))))) (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in 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]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))))) (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 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: simplifying candidates * * * * [misc]progress: [ 1 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 2 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 2 1))))) * [enter]simplify: Simplifying (+ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 2) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ 1 2))))) * * * * [misc]progress: [ 3 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 4 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) * * * * [misc]progress: [ 5 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1)))) * * * * [misc]progress: [ 6 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * * * [misc]progress: [ 7 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 8 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 2 1))))) * * * * [misc]progress: [ 9 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 10 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) * * * * [misc]progress: [ 12 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (+ (log (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (+ (log (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) * * * * [misc]progress: [ 13 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (74 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (cbrt (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))))) * * * * [misc]progress: [ 16 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (82 enodes) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (cbrt (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 3))))) * * * * [misc]progress: [ 17 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 22 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 23 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1) (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 24 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 25 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (cbrt (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 31 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 34 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1 1)) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (cbrt (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ 1 1)) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 37 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (pow (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) 1) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 38 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1 1)) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 40 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (exp (+ (log (atan (sqrt (/ (- 1 x) (+ x 1))))) (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 42 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (43 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 3 1) (+ 1 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 3 1) (+ 1 1)))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 51 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (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 (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 52 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (* (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 54 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 74 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * * * [misc]progress: [ 64 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * * * [misc]progress: [ 65 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * * * [misc]progress: [ 66 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 67 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 68 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 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: [ 69 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * * [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) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 70 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * * [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) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 71 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) * * [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) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 72 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 73 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 74 / 74 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime-changes: Finding splitpoints for: (# # # # #) * [misc]regimes: Found splitpoints: (#s(sp 0 (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) +nan.0)) , with alts (#) * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 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 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 15 of 8000 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 7 of 8000 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 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 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 4084 additional inputs, on iter 1 have 3916 / 8000 * * * * [misc]points: Computing exacts on every 255 of 4084 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 127 of 4084 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 63 of 4084 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 31 of 4084 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 15 of 4084 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 7 of 4084 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 3 of 4084 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4084 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 2052 additional inputs, on iter 2 have 5948 / 8000 * * * * [misc]points: Computing exacts on every 128 of 2052 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 64 of 2052 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 32 of 2052 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 16 of 2052 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 2052 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 2052 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 2052 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2052 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 1024 additional inputs, on iter 3 have 6976 / 8000 * * * * [misc]points: Computing exacts on every 64 of 1024 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 32 of 1024 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 16 of 1024 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 1024 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 1024 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 1024 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1024 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 519 additional inputs, on iter 4 have 7481 / 8000 * * * * [misc]points: Computing exacts on every 32 of 519 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 16 of 519 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 519 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 519 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 519 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 519 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 264 additional inputs, on iter 5 have 7736 / 8000 * * * * [misc]points: Computing exacts on every 16 of 264 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 264 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 264 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 264 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 264 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 136 additional inputs, on iter 6 have 7864 / 8000 * * * * [misc]points: Computing exacts on every 8 of 136 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 136 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 136 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 136 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 62 additional inputs, on iter 7 have 7938 / 8000 * * * * [misc]points: Computing exacts on every 3 of 62 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 62 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 27 additional inputs, on iter 8 have 7973 / 8000 * * * * [misc]points: Computing exacts for 27 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 11 additional inputs, on iter 9 have 7989 / 8000 * * * * [misc]points: Computing exacts for 11 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 6 additional inputs, on iter 10 have 7994 / 8000 * * * * [misc]points: Computing exacts for 6 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 11 have 7999 / 8000 * * * * [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 8000 points with exact outputs