* [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 125 additional inputs, on iter 1 have 131 / 256 * * * * [misc]points: Computing exacts on every 7 of 125 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 125 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 125 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 65 additional inputs, on iter 2 have 191 / 256 * * * * [misc]points: Computing exacts on every 4 of 65 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 65 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 65 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 34 additional inputs, on iter 3 have 222 / 256 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 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 17 additional inputs, on iter 4 have 239 / 256 * * * * [misc]points: Computing exacts for 17 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 5 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 5 additional inputs, on iter 6 have 251 / 256 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 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 8 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 258 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 (200 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 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2 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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [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 (/ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [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 (/ 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * * * [misc]progress: [ 2 / 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)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [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)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * [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 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) into (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ 2 (/ 1 (pow (sqrt -1) 2))) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (log (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (214 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: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 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: [ 22 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) (/ (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 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) (cbrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 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 (156 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 (* (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 1))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 1 x) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (- 1 x) (+ 1/3 1/3)) (/ (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 (137 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (pow (- 1 x) (+ 1/3 1/3)) (/ (cbrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (pow (+ x 1) (+ 1/3 1/3))) (/ (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 (156 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)) (pow (+ x 1) (+ 1/3 1/3))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (- 1 x) (+ 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 (159 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) (+ x 1))) (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (115 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 (139 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: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (pow (+ x 1) (+ 1/3 1/3))) (/ (- 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 (139 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 (pow (+ x 1) (+ 1/3 1/3))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (- 1/2)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (pow (+ x 1) (- 1/2)) (/ (- 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 (141 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: [ 30 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 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 (122 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: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 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: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (88 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: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (69 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: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (pow (- 1 x) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (pow (- 1 x) (+ 1/3 1/3)) (/ (+ 1 x) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (89 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: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ 1 (- (* x x) x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (+ 1 (- (* x x) x))))))) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (70 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: [ 42 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (119 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: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (115 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: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (/ (- 1 x) (+ x 1))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (160 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (pow (/ (- 1 x) (+ x 1)) (* 1/2 1/2)) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (220 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (/ (- 1 x) (+ x 1))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (156 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (- 1 x)) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 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))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 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)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (134 enodes) * [exit]simplify: Simplified to (pow (- 1 x) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (pow (- 1 x) (* 1/2 1/2)) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt 1) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (/ (sqrt 1) (+ x 1))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (133 enodes) * [exit]simplify: Simplified to (sqrt (pow (+ x 1) (- 1/2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (pow (+ x 1) (- 1/2))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (219 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (193 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (fma (* x x) x 1))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (190 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (142 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (159 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: [ 71 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (fma (* x x) 2 (- 1 (* x 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (* x x) 2 (- 1 (* x 2))))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (240 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: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (240 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: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (fma (* x x) 1/2 (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* x x) 1/2 (- 1 x))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (430 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (+ (/ 1 (* (* x x) (sqrt -1))) (/ (/ 1/2 (* x x)) (* (sqrt -1) -1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (+ (/ 1 (* (* x x) (sqrt -1))) (/ (/ 1/2 (* x x)) (* (sqrt -1) -1))))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (sqrt -1) x)) (sqrt -1)) (+ (/ 1 (* (sqrt -1) (pow x 2))) (* 1/2 (/ 1 (* (pow (sqrt -1) 3) (pow x 2)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (430 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (+ (/ 1 (* (* x x) (sqrt -1))) (/ (/ 1/2 (* x x)) (* (sqrt -1) -1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ 1 (* (sqrt -1) x))) (+ (/ 1 (* (* x x) (sqrt -1))) (/ (/ 1/2 (* x x)) (* (sqrt -1) -1))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 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) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) 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 (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 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 (/ 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 2))) into (exp (+ (log x) (log 2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 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 (/ 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 2))) into (exp (+ (log x) (log 2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log 2))) -1) into (- (exp (+ (log x) (log 2))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log x) (log 2))) 1) into (- (exp (+ (log x) (log 2))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 2))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log x) (log 2)))) 0) into (- (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (- (exp (+ (log x) (log 2)))) into (- (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 2))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log x) (log 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log 2))) 0) into (exp (+ (log x) (log 2))) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 2))) into (exp (+ (log x) (log 2))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log (/ 1 x)) (log 2))) (pow (/ 1 x) 2)) (+ (* (- (exp (+ (log (/ 1 x)) (log 2)))) (/ 1 x)) (- (exp (+ (log (/ 1 x)) (log 2))) 1))) into (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ 1 (/ (exp (+ (log 2) (log (/ 1 x)))) x))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) -1) into (- (exp (+ (log x) (log -2))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log x) (log -2))) 1) into (- (exp (+ (log x) (log -2))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log -2))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) 0) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log -2))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) 0) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log (/ 1 (- x))) (log -2))) (pow (/ 1 (- x)) 2)) (+ (* (exp (+ (log (/ 1 (- x))) (log -2))) (/ 1 (- x))) (- (exp (+ (log (/ 1 (- x))) (log -2))) 1))) into (- (+ (exp (+ (log (/ -1 x)) (log -2))) (/ (exp (+ (log (/ -1 x)) (log -2))) (pow x 2))) (+ 1 (/ (exp (+ (log (/ -1 x)) (log -2))) x))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (expm1 (log1p (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) into (atan (sqrt (expm1 (log1p (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (atan (sqrt (expm1 (log1p (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 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)) (+ 1 (* 2 (/ 1 (pow x 2))))) * [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)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 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 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) 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 (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 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 (/ 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 2))) into (exp (+ (log x) (log 2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log 2))) -1) into (- (exp (+ (log x) (log 2))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log 2))) 1)) into (sqrt (- (exp (+ (log x) (log 2))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 2))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log x) (log 2)))) 0) into (- (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log x) (log 2)))) (* 2 (sqrt (- (exp (+ (log x) (log 2))) 1)))) into (* -1/2 (* (exp (+ (log x) (log 2))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 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 (/ 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 (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log 2))) into (exp (+ (log x) (log 2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log 2))) -1) into (- (exp (+ (log x) (log 2))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log 2))) 1)) into (sqrt (- (exp (+ (log x) (log 2))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 2))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log x) (log 2)))) 0) into (- (exp (+ (log x) (log 2)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log x) (log 2)))) (* 2 (sqrt (- (exp (+ (log x) (log 2))) 1)))) into (* -1/2 (* (exp (+ (log x) (log 2))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log 2))) 1)) into (sqrt (- (exp (+ (log x) (log 2))) 1)) * [misc]backup-simplify: Simplify (* -1/2 (* (exp (+ (log x) (log 2))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) into (* -1/2 (* (exp (+ (log x) (log 2))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log x) (log 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log 2))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log x) (log 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log 2))) 0) into (exp (+ (log x) (log 2))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log x) (log 2))) (pow (* -1/2 (* (exp (+ (log x) (log 2))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log x) (log 2))) 1)))) into (* 1/2 (* (- (exp (+ (log x) (log 2))) (* 1/4 (/ (pow (exp (+ (log x) (log 2))) 2) (- (exp (+ (log x) (log 2))) 1)))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- (exp (+ (log x) (log 2))) (* 1/4 (/ (pow (exp (+ (log x) (log 2))) 2) (- (exp (+ (log x) (log 2))) 1)))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) into (* 1/2 (* (- (exp (+ (log x) (log 2))) (* 1/4 (/ (pow (exp (+ (log x) (log 2))) 2) (- (exp (+ (log x) (log 2))) 1)))) (sqrt (/ 1 (- (exp (+ (log x) (log 2))) 1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- (exp (+ (log (/ 1 x)) (log 2))) (* 1/4 (/ (pow (exp (+ (log (/ 1 x)) (log 2))) 2) (- (exp (+ (log (/ 1 x)) (log 2))) 1)))) (sqrt (/ 1 (- (exp (+ (log (/ 1 x)) (log 2))) 1))))) (pow (/ 1 x) 2)) (+ (* (* -1/2 (* (exp (+ (log (/ 1 x)) (log 2))) (sqrt (/ 1 (- (exp (+ (log (/ 1 x)) (log 2))) 1))))) (/ 1 x)) (sqrt (- (exp (+ (log (/ 1 x)) (log 2))) 1)))) into (- (+ (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1)) (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2))))) (+ (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (/ (exp (+ (log 2) (log (/ 1 x)))) x))) (* 1/8 (* (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))) (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) -1) into (- (exp (+ (log x) (log -2))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log -2))) 1)) into (sqrt (- (exp (+ (log x) (log -2))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log -2))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) 0) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (/ (exp (+ (log x) (log -2))) (* 2 (sqrt (- (exp (+ (log x) (log -2))) 1)))) into (* 1/2 (* (exp (+ (log x) (log -2))) (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))))) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 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 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (exp (+ (log x) (log -2))) into (exp (+ (log x) (log -2))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) -1) into (- (exp (+ (log x) (log -2))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log -2))) 1)) into (sqrt (- (exp (+ (log x) (log -2))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -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 (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log -2))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) 0) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (/ (exp (+ (log x) (log -2))) (* 2 (sqrt (- (exp (+ (log x) (log -2))) 1)))) into (* 1/2 (* (exp (+ (log x) (log -2))) (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log x) (log -2))) 1)) into (sqrt (- (exp (+ (log x) (log -2))) 1)) * [misc]backup-simplify: Simplify (* 1/2 (* (exp (+ (log x) (log -2))) (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))))) into (* 1/2 (* (exp (+ (log x) (log -2))) (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log x) (log -2)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log x) (log -2))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log x) (log -2))) 0) into (exp (+ (log x) (log -2))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log x) (log -2))) (pow (* 1/2 (* (exp (+ (log x) (log -2))) (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log x) (log -2))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))) (- (exp (+ (log x) (log -2))) (* 1/4 (/ (pow (exp (+ (log x) (log -2))) 2) (- (exp (+ (log x) (log -2))) 1)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))) (- (exp (+ (log x) (log -2))) (* 1/4 (/ (pow (exp (+ (log x) (log -2))) 2) (- (exp (+ (log x) (log -2))) 1)))))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log x) (log -2))) 1))) (- (exp (+ (log x) (log -2))) (* 1/4 (/ (pow (exp (+ (log x) (log -2))) 2) (- (exp (+ (log x) (log -2))) 1)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log (/ 1 (- x))) (log -2))) 1))) (- (exp (+ (log (/ 1 (- x))) (log -2))) (* 1/4 (/ (pow (exp (+ (log (/ 1 (- x))) (log -2))) 2) (- (exp (+ (log (/ 1 (- x))) (log -2))) 1)))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/2 (* (exp (+ (log (/ 1 (- x))) (log -2))) (sqrt (/ 1 (- (exp (+ (log (/ 1 (- x))) (log -2))) 1))))) (/ 1 (- x))) (sqrt (- (exp (+ (log (/ 1 (- x))) (log -2))) 1)))) into (- (+ (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (/ (exp (+ (log (/ -1 x)) (log -2))) (pow x 2)))) (sqrt (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (exp (+ (log (/ -1 x)) (log -2))) 1) 3))) (/ (pow (exp (+ (log (/ -1 x)) (log -2))) 2) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (/ (exp (+ (log (/ -1 x)) (log -2))) x))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (log (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (exp (log (/ (- 1 x) (+ x 1)))))))))) * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (214 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (200 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) (/ (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 (155 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (pow (- 1 x) (+ 1/3 1/3)) (pow (+ x 1) (+ 1/3 1/3))) (cbrt (/ (- 1 x) (+ x 1)))))))))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 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 (156 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (pow (- 1 x) (+ 1/3 1/3)) (sqrt (+ x 1))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (136 enodes) * [exit]simplify: Simplified to (pow (- 1 x) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (pow (- 1 x) (+ 1/3 1/3)) (/ (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 (137 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (pow (- 1 x) (+ 1/3 1/3)) (/ (cbrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (pow (+ x 1) (+ 1/3 1/3))) (/ (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 (156 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (pow (+ x 1) (+ 1/3 1/3))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (159 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (/ (- 1 x) (+ 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 (159 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (/ (- 1 x) (+ x 1))) (sqrt (/ (- 1 x) (+ x 1)))))))))) * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (115 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (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 (139 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (135 enodes) * [exit]simplify: Simplified to (/ 1 (pow (+ x 1) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (pow (+ x 1) (+ 1/3 1/3))) (/ (- 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 (139 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (pow (+ x 1) (+ 1/3 1/3))) (/ (- 1 x) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * [exit]simplify: Simplified to (pow (+ x 1) (- 1/2)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (pow (+ x 1) (- 1/2)) (/ (- 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 (141 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (44 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* 1 (/ (- 1 x) (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* 1 (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (86 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (69 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) 1) (+ x 1)))))))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (108 enodes) * [exit]simplify: Simplified to (pow (- 1 x) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (pow (- 1 x) (+ 1/3 1/3)) (/ (+ 1 x) (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (169 enodes) * [exit]simplify: Simplified to (+ 1 (- (* x x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (+ 1 (- (* x x) x))))))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (70 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * [exit]simplify: Simplified to (- 1 (pow x 3)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (- 1 (pow x 3)) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (115 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (199 enodes) * [exit]simplify: Simplified to (cbrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (cbrt (/ (- 1 x) (+ x 1))) (sqrt (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (181 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) (* 1/2 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (pow (/ (- 1 x) (+ x 1)) (* 1/2 1/2)) (sqrt (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (163 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: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (fma (* x x) 2 (- 1 (* x 2))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (* x x) 2 (- 1 (* x 2))))))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ 1 (/ (exp (+ (log 2) (log (/ 1 x)))) x))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (331 enodes) * [exit]simplify: Simplified to (+ (- (- (/ 2 x) 1) (/ (/ 2 x) x)) (/ (/ 2 x) (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (+ (- (- (/ 2 x) 1) (/ (/ 2 x) x)) (/ (/ 2 x) (* x x))))))) * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (+ (log (/ -1 x)) (log -2))) (/ (exp (+ (log (/ -1 x)) (log -2))) (pow x 2))) (+ 1 (/ (exp (+ (log (/ -1 x)) (log -2))) x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (368 enodes) * [exit]simplify: Simplified to (- (fma (* (/ -1 x) -2) (/ 1 (* x x)) (* (/ -1 x) -2)) (+ (/ (/ -1 x) (/ x -2)) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (fma (* (/ -1 x) -2) (/ 1 (* x x)) (* (/ -1 x) -2)) (+ (/ (/ -1 x) (/ x -2)) 1)))))) * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (182 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: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (182 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: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (182 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: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (184 enodes) * [exit]simplify: Simplified to (fma (* x x) 2 (- 1 (* x 2))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (fma (* x x) 2 (- 1 (* x 2))))))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ 1 (* 2 (/ 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (183 enodes) * [exit]simplify: Simplified to (fma (* x x) 1/2 (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* x x) 1/2 (- 1 x))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1)) (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2))))) (+ (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (/ (exp (+ (log 2) (log (/ 1 x)))) x))) (* 1/8 (* (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))) (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)))))) * * [misc]simplify: iters left: 6 (32 enodes) * [exit]simplify: Simplified to (- (+ (sqrt (- (* 2 (/ 1 x)) 1)) (* 1/2 (* (sqrt (/ 1 (- (* 2 (/ 1 x)) 1))) (/ (* 2 (/ 1 x)) (* x x))))) (fma 1/2 (* (* (* 2 (/ 1 x)) (/ 1 x)) (sqrt (/ 1 (- (* 2 (/ 1 x)) 1)))) (* (* (sqrt (pow (- (* 2 (/ 1 x)) 1) (- 3))) (/ (* (* 2 (/ 1 x)) (* 2 (/ 1 x))) (* x x))) 1/8))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt (- (* 2 (/ 1 x)) 1)) (* 1/2 (* (sqrt (/ 1 (- (* 2 (/ 1 x)) 1))) (/ (* 2 (/ 1 x)) (* x x))))) (fma 1/2 (* (* (* 2 (/ 1 x)) (/ 1 x)) (sqrt (/ 1 (- (* 2 (/ 1 x)) 1)))) (* (* (sqrt (pow (- (* 2 (/ 1 x)) 1) (- 3))) (/ (* (* 2 (/ 1 x)) (* 2 (/ 1 x))) (* x x))) 1/8)))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (/ (exp (+ (log (/ -1 x)) (log -2))) (pow x 2)))) (sqrt (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (+ (* 1/8 (* (sqrt (/ 1 (pow (- (exp (+ (log (/ -1 x)) (log -2))) 1) 3))) (/ (pow (exp (+ (log (/ -1 x)) (log -2))) 2) (pow x 2)))) (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log (/ -1 x)) (log -2))) 1))) (/ (exp (+ (log (/ -1 x)) (log -2))) x))))) * * [misc]simplify: iters left: 6 (34 enodes) * [exit]simplify: Simplified to (- (fma 1/2 (* (/ (* (/ -1 x) -2) (* x x)) (sqrt (/ 1 (- (* (/ -1 x) -2) 1)))) (sqrt (- (* (/ -1 x) -2) 1))) (fma 1/8 (* (sqrt (pow (- (* (/ -1 x) -2) 1) (- 3))) (/ (* (* (/ -1 x) -2) (* (/ -1 x) -2)) (* x x))) (* 1/2 (* (sqrt (/ 1 (- (* (/ -1 x) -2) 1))) (/ (* (/ -1 x) -2) x))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (fma 1/2 (* (/ (* (/ -1 x) -2) (* x x)) (sqrt (/ 1 (- (* (/ -1 x) -2) 1)))) (sqrt (- (* (/ -1 x) -2) 1))) (fma 1/8 (* (sqrt (pow (- (* (/ -1 x) -2) 1) (- 3))) (/ (* (* (/ -1 x) -2) (* (/ -1 x) -2)) (* x x))) (* 1/2 (* (sqrt (/ 1 (- (* (/ -1 x) -2) 1))) (/ (* (/ -1 x) -2) x)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [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) (+ 1 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) (+ 1 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) (+ 1 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) (+ 1 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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * * * * [misc]progress: [ 2 / 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) (+ 1 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) (+ 1 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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 2) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * * * [misc]progress: [ 3 / 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) (+ 1 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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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) (+ 1 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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) into (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 x) (+ 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 x)))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 x) (+ 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 x) (+ 1 x)))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x)) (+ 1 (/ 1 x))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 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 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 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 (/ 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 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) into (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) into (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 x)) (- 1 (/ 1 x))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 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 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 3) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * * * * [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) (+ 1 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [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 (/ 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 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * [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 (/ 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 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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 (75 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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 (70 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: [ 5 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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 (75 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) * * * * [misc]progress: [ 6 / 82 ] 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 (200 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: [ 7 / 82 ] 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 (200 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: [ 8 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 9 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 11 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 12 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 82 ] 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 (233 enodes) * [exit]simplify: Simplified to (+ (/ 0 0) (log (sqrt (exp (/ 0 0))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (+ (/ 0 0) (log (sqrt (exp (/ 0 0))))))))) * * * * [misc]progress: [ 14 / 82 ] 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 (245 enodes) * [exit]simplify: Simplified to (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (log (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))))) * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 82 ] 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 (244 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 3 3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 3 3)))))) * * * * [misc]progress: [ 18 / 82 ] 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 (266 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: [ 19 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 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: [ 24 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 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: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 27 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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 (46 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (cbrt (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 31 / 82 ] 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 (181 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: [ 32 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 34 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 82 ] 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 (204 enodes) * [exit]simplify: Simplified to (/ 0 0) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (exp (/ 0 0)) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 82 ] 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 (223 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 3 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 3 3))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 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: [ 44 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 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: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 46 / 82 ] 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 (199 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3)) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (179 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: [ 48 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 82 ] 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 (198 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 2 1/3)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 2 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (142 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: [ 60 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (200 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: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (200 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: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (200 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: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (201 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: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (201 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: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (201 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: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (236 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (236 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: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (236 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: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: [ 82 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 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: 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 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 2) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (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))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))) 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) (+ 1 x)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) into (log (atan (sqrt (/ (- 1 x) (+ 1 x))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3)) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (cbrt (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)))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (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)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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)))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3)) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 1/3) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ 1 (/ 1 (/ 1 x)))))) 2) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * [misc]approximate: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (cbrt (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))))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (* (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Rewrote expression to (pow (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))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (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))))))) 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 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3)) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 1/3) into (pow (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x)))))))) (+ (* (/ (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 (+ (* (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ 1 (/ 1 x)) (- 1 (/ 1 x))))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (sqrt (/ (+ 1 (/ 1 (/ 1 (- x)))) (- 1 (/ 1 (/ 1 (- x))))))) 2) 1/3) into (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 8 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 9 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* 1 (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 10 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 21 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 22 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* 1 (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 23 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (* (* (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 34 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (* (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 35 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (* (* (* 1 (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 36 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (161 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ 1/3 1/3)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 43 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ 1 1)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (pow (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) 1) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 81 ] 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 (181 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 (* (pow (* (atan (sqrt (/ (- 1 x) (+ x 1)))) (atan (sqrt (/ (- 1 x) (+ x 1))))) 1/3) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 81 ] 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 (199 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3)) 1) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 46 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ 1 1)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 48 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (221 enodes) * [exit]simplify: Simplified to (/ 0 0) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (exp (/ 0 0)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 81 ] 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 (181 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)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 58 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 59 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 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))))) (cbrt 1)) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 60 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (194 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 61 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/2))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 62 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (178 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))))) 1) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 63 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ 1/3 1/3))) (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 64 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/2 1/3)) (* (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 65 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* 1 (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 66 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (215 enodes) * [exit]simplify: Simplified to (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/3))) (* (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 67 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (196 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/2)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 1/2)) (* (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 68 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 81 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 71 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 72 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 73 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 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))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 74 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 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))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 75 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 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))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 76 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 77 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 78 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (198 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 79 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 80 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 81 / 81 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) 1/3) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (240 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (* 1/3 2)) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * [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 (expm1 (log1p (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (expm1 (log1p (/ (- 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 4037 additional inputs, on iter 1 have 3963 / 8000 * * * * [misc]points: Computing exacts on every 252 of 4037 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 126 of 4037 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 4037 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 4037 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 4037 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 4037 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 4037 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 4037 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 2031 additional inputs, on iter 2 have 5969 / 8000 * * * * [misc]points: Computing exacts on every 126 of 2031 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 2031 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 2031 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 2031 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 2031 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 2031 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 2031 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 1011 additional inputs, on iter 3 have 6989 / 8000 * * * * [misc]points: Computing exacts on every 63 of 1011 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 1011 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 1011 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 1011 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 1011 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 1011 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 501 additional inputs, on iter 4 have 7499 / 8000 * * * * [misc]points: Computing exacts on every 31 of 501 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 501 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 501 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 501 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 501 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 253 additional inputs, on iter 5 have 7747 / 8000 * * * * [misc]points: Computing exacts on every 15 of 253 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 253 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 253 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 253 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 121 additional inputs, on iter 6 have 7879 / 8000 * * * * [misc]points: Computing exacts on every 7 of 121 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 121 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 121 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 60 additional inputs, on iter 7 have 7940 / 8000 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 60 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 34 additional inputs, on iter 8 have 7966 / 8000 * * * * [misc]points: Computing exacts on every 2 of 34 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 34 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 17 additional inputs, on iter 9 have 7983 / 8000 * * * * [misc]points: Computing exacts for 17 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 10 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 5 additional inputs, on iter 11 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 12 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 13 have 7997 / 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