* [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 132 additional inputs, on iter 1 have 124 / 256 * * * * [misc]points: Computing exacts on every 8 of 132 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 132 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 132 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 132 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 33 additional inputs, on iter 3 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 33 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 21 additional inputs, on iter 4 have 235 / 256 * * * * [misc]points: Computing exacts for 21 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 5 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 6 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 * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) 1) (+ x 1)))))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))))))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fma (* x x) (- x) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (* x x) (- x) 1) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 54 / 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: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (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: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma x (- (* 2 x) 2) 1))))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) 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 x) in x * [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 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) (+ 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) 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 x) in x * [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 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) (+ 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)) (* -2 (/ 2 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))) in 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 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 x) in x * [misc]taylor: Taking 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)) (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))) in 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 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 x) in x * [misc]taylor: Taking 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)) (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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)))) 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)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 2 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)) (* 2 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in 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 (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- 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))) (+ 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 -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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in 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 (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- 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))) (+ 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 -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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 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 (- (+ (* -1 (/ 0 -1)))) 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)) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ -2 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 (- 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 (+ (* -1 0) (+ (* 0 0) (* 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)) (* -2 (/ -2 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) 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 x) in x * [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 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) (+ 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) 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 x) in x * [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 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) (+ 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 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 2 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 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)) (* -2 (/ 2 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 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))) in 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 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 x) in x * [misc]taylor: Taking 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)) (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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)))) 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)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 2 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 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))) in 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 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 x) in x * [misc]taylor: Taking 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)) (+ 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 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (* 1 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 (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 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)))) 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)) into 2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 2 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 (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 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)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)) (* 2 (/ 2 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in 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 (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- 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))) (+ 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 -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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- (+ (* -1 (/ 0 -1)))) 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)) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ -2 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 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in 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 (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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 (- 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))) (+ 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 -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 (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -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) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -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 (- (+ (* -1 (/ 0 -1)))) 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)) into -2 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ -2 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 (- 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 (+ (* -1 0) (+ (* 0 0) (* 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 (- 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) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)) (* -2 (/ -2 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * [misc]backup-simplify: Simplify (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * [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 (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (atan (* (/ 1 (+ (/ 1 x) 1)) (sqrt (- 1 (/ 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* (/ 1 x) (/ 1 x))) (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x)))))) into (atan (* (/ 1 (+ (/ 1 x) 1)) (sqrt (- 1 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (atan (* (/ 1 (+ (/ 1 x) 1)) (sqrt (- 1 (/ 1 (pow x 2)))))) into (atan (* (/ 1 (+ (/ 1 x) 1)) (sqrt (- 1 (/ 1 (pow x 2)))))) * [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 (* (/ 1 (+ (/ 1 (/ 1 x)) 1)) (sqrt (- 1 (/ 1 (pow (/ 1 x) 2)))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) into (atan (* (/ 1 (- 1 (/ 1 x))) (sqrt (- 1 (/ 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) into (atan (* (/ 1 (- 1 (/ 1 x))) (sqrt (- 1 (/ 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (atan (* (/ 1 (- 1 (/ 1 x))) (sqrt (- 1 (/ 1 (pow x 2)))))) into (atan (* (sqrt (- 1 (/ 1 (pow x 2)))) (/ 1 (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (* (sqrt (- 1 (/ 1 (pow (/ 1 (- x)) 2)))) (/ 1 (- 1 (/ 1 (/ 1 (- x))))))) into (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 2) * [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]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 (+ 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 (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* 1 1)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* 2 x) 1)) into (+ (* 2 x) (+ (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]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]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 (+ 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 (+ 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)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 1 1) (* 0 1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* 2 (/ 1 (/ 1 x))) (* 1 (pow (/ 1 (/ 1 x)) 2)))) into (+ (* 2 x) (+ (pow x 2) 1)) * [misc]approximate: Taking taylor expansion of (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (+ 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]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 (+ 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 (+ 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)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 1 1) (* 0 -1))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 (+ (* -2 (/ 1 (/ 1 (- x)))) (* 1 (pow (/ 1 (/ 1 (- x))) 2)))) into (+ (* 2 x) (+ (pow x 2) 1)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* x x))) (+ (log (+ 1 x)) (log (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (- (log (- 1 (* x x))) (+ (log1p x) (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 (* x x))) (+ (log1p x) (log1p x)))))))) * * * * [misc]progress: [ 5 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 (* x x))) (log (* (+ 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (305 enodes) * [exit]simplify: Simplified to (- (log (- 1 (* x x))) (+ (log1p x) (log1p x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 (* x x))) (+ (log1p x) (log1p x)))))))) * * * * [misc]progress: [ 6 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* x x)) (- 1 (* x x))) (- 1 (* x x))) (* (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (145 enodes) * [exit]simplify: Simplified to (/ (pow (- 1 (* x x)) 3) (* (pow (+ x 1) 3) (pow (+ x 1) 3))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (/ (pow (- 1 (* x x)) 3) (* (pow (+ x 1) 3) (pow (+ x 1) 3)))))))) * * * * [misc]progress: [ 9 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 (* x x)) (- 1 (* x x))) (- 1 (* x x))) (* (* (* (+ 1 x) (+ 1 x)) (* (+ 1 x) (+ 1 x))) (* (+ 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (pow (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))) 3)))))) * * * * [misc]progress: [ 10 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (+ 1 x) (+ 1 x))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (161 enodes) * [exit]simplify: Simplified to (/ 1 (* (+ x 1) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (* (+ x 1) (+ x 1))) (/ (* x x) (* (+ 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (+ 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* x x))) (/ (+ x 1) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (- 1 (* x x))) (/ (+ x 1) (cbrt (- 1 (* x x))))) (/ (cbrt (- 1 (* x x))) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 (* x x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 (* x x))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (+ 1 x)) (/ (cbrt (- 1 (* x x))) (+ x 1))))))) * * * * [misc]progress: [ 16 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 (* x x))) (+ x 1)) (/ (sqrt (- 1 (* x x))) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 (* x x))) (+ 1 x)) (/ (sqrt (- 1 (* x x))) (+ x 1))))))) * * * * [misc]progress: [ 17 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ x 1)) (/ (- 1 (* x x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 (* x x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * * [misc]simplify: iters left: 1 (42 enodes) * [exit]simplify: Simplified to (/ (- 1 (* x x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ 1 x)) (/ (- 1 (* x x)) (+ x 1))))))) * * * * [misc]progress: [ 18 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (+ 1 x)) (+ x 1)))))) * * * * [misc]progress: [ 22 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (/ (* (+ 1 x) (+ 1 x)) (cbrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 23 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (sqrt (- 1 (* x x))) (/ (* (+ 1 x) (+ 1 x)) (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 24 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (* (- (fma x x 1) x) (- (fma x x 1) x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (+ (pow 1 3) (pow x 3)))) (* (- (fma x x 1) x) (- (fma x x 1) x))))))) * * * * [misc]progress: [ 26 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* x x) (* 1 x))) (- 1 x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (fma x x (- 1 x)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (- (* 1 1) (* x x)))) (* (fma x x (- 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 27 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (fma x x (- 1 x)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (+ (pow 1 3) (pow x 3)))) (* (fma x x (- 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 28 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x)))) (* (- 1 x) (- 1 x))))))) * * * * [misc]progress: [ 29 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (+ 1 x) (+ (pow 1 3) (pow x 3)))) (fma x x (- 1 x))))))) * * * * [misc]progress: [ 30 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (+ 1 x) (- (* 1 1) (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 31 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (+ 1 x))) (fma x x (- 1 x))))))) * * * * [misc]progress: [ 32 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (+ 1 x))) (- 1 x)))))) * * * * [misc]progress: [ 33 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow (* x x) 3)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma (* x (- x)) (* (* x x) (* x x)) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (* x (- x)) (* (* x x) (* x x)) 1) (* (* (+ 1 x) (+ 1 x)) (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))))) * * * * [misc]progress: [ 34 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* (* x x) (* x x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (fma (- x) (pow x 3) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (- x) (pow x 3) 1) (* (* (+ 1 x) (+ 1 x)) (+ 1 (* x x)))))))) * * * * [misc]progress: [ 35 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))) (cbrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (56 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (cbrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 44 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (113 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (384 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1))))) (sqrt (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 45 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 (* x x))) (/ (cbrt (- 1 (* x x))) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 (* x x))) (/ (cbrt (- 1 (* x x))) (+ x 1)))) (sqrt (/ (cbrt (- 1 (* x x))) (+ 1 x))))))) * * * * [misc]progress: [ 46 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 (* x x))) (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 (* x x))) (+ x 1))) (sqrt (/ (sqrt (- 1 (* x x))) (+ 1 x))))))) * * * * [misc]progress: [ 47 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (+ x 1))) (sqrt (/ (- 1 (* x x)) (+ 1 x))))))) * * * * [misc]progress: [ 48 / 115 ] 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 x)) (* (+ 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 (* x x))) (sqrt (/ 1 (* (+ 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (170 enodes) * * [misc]simplify: iters left: 2 (352 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* x x)) (* (fma (* x x) x 1) (fma (* x x) x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 (* x x)) (* (fma (* x x) x 1) (fma (* x x) x 1)))) (sqrt (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 51 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (145 enodes) * * [misc]simplify: iters left: 2 (392 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fma (* x x) x 1))) (sqrt (* (+ (* 1 1) (- (* x x) (* 1 x))) (- 1 x))))))) * * * * [misc]progress: [ 52 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fma (* x x) x 1))) (sqrt (* (- 1 x) (+ (* 1 1) (- (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 53 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (- 1 (* x x)))) (sqrt (* (- 1 x) (- 1 x))))))) * * * * [misc]progress: [ 54 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (239 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* x x)) (fma (* x x) (fma x x x) (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 (* x x)) (fma (* x x) (fma x x x) (+ 1 x)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 55 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (133 enodes) * * [misc]simplify: iters left: 2 (372 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 56 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ (pow 1 3) (pow x 3)) (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (85 enodes) * * [misc]simplify: iters left: 3 (181 enodes) * * [misc]simplify: iters left: 2 (443 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* x x)) (fma (fma x x x) (* x x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 (* x x)) (fma (fma x x x) (* x x) (+ x 1)))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 57 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (183 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (+ x 1))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 58 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 (* x x))) (sqrt (* (+ 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 59 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (247 enodes) * * [misc]simplify: iters left: 1 (402 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 (* x x)) (* (+ x 1) (+ x 1)))))))) * * * * [misc]progress: [ 61 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 (* x x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 (* x x))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 (* x x))) (+ x 1)))))) * * * * [misc]progress: [ 62 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (pow (+ x 1) (+ 1 1))))))) * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (pow (+ 1 x) (+ 1 1))))))) * * * * [misc]progress: [ 75 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * * [misc]simplify: iters left: 1 (50 enodes) * [exit]simplify: Simplified to (* (+ x 1) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (pow (* (+ x 1) (+ x 1)) 1)))))) * * * * [misc]progress: [ 76 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (pow (+ x 1) (+ 1 1))))))) * * * * [misc]progress: [ 78 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * [exit]simplify: Simplified to (+ (log1p x) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (exp (+ (log1p x) (log1p x)))))))) * * * * [misc]progress: [ 80 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (+ 1 x) (+ 1 x)) (+ 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (247 enodes) * [exit]simplify: Simplified to (pow (* (+ x 1) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (cbrt (pow (* (+ x 1) (+ x 1)) 3))))))) * * * * [misc]progress: [ 83 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 1 3) (pow x 3)) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (272 enodes) * [exit]simplify: Simplified to (* (fma x (* x x) 1) (fma x (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (fma x (* x x) 1) (fma x (* x x) 1)) (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x)))))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* x x) (* 1 x))) (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (208 enodes) * [exit]simplify: Simplified to (* (- (fma x x 1) x) (- (fma x x 1) x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (fma x (* x x) 1) (fma x (* x x) 1)) (* (- (fma x x 1) x) (- (fma x x 1) x)))))))) * * * * [misc]progress: [ 87 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 1 3) (pow x 3)) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (87 enodes) * * [misc]simplify: iters left: 2 (225 enodes) * [exit]simplify: Simplified to (* (- 1 (* x x)) (fma x (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (fma x (* x x) 1)) (* (+ (* 1 1) (- (* x x) (* 1 x))) (- 1 x)))))))) * [enter]simplify: Simplifying (* (+ (* 1 1) (- (* x x) (* 1 x))) (- 1 x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (120 enodes) * * [misc]simplify: iters left: 2 (319 enodes) * [exit]simplify: Simplified to (* (fma x x (- 1 x)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (fma x (* x x) 1)) (* (fma x x (- 1 x)) (- 1 x)))))))) * * * * [misc]progress: [ 88 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (164 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (* (- 1 (* x x)) (fma x (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (fma x (* x x) 1)) (* (- 1 x) (+ (* 1 1) (- (* x x) (* 1 x)))))))))) * [enter]simplify: Simplifying (* (- 1 x) (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (231 enodes) * [exit]simplify: Simplified to (* (fma x x (- 1 x)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (fma x (* x x) 1)) (* (fma x x (- 1 x)) (- 1 x)))))))) * * * * [misc]progress: [ 89 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (136 enodes) * * [misc]simplify: iters left: 1 (369 enodes) * [exit]simplify: Simplified to (* (- 1 (* x x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (- 1 (* x x))) (* (- 1 x) (- 1 x)))))))) * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (- 1 (* x x)) (- 1 (* x x))) (* (- 1 x) (- 1 x)))))))) * * * * [misc]progress: [ 90 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 91 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ 1 x) x) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (21 enodes) * [exit]simplify: Simplified to (fma x x x) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (+ (* (+ 1 x) 1) (fma x x x))))))) * * * * [misc]progress: [ 92 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fma x x x) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (+ (* 1 (+ 1 x)) (fma x x x))))))) * * * * [misc]progress: [ 93 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (* (+ 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 94 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (* (+ 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 95 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (* (+ 1 x) 1) (+ x 1))))))) * * * * [misc]progress: [ 96 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (* (cbrt (+ x 1)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (* (cbrt (+ x 1)) (cbrt (+ x 1))) (* (cbrt (+ 1 x)) (+ 1 x)))))))) * * * * [misc]progress: [ 97 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (sqrt (+ x 1)) (* (sqrt (+ 1 x)) (+ 1 x)))))))) * * * * [misc]progress: [ 98 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (+ 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x)))))))) * * * * [misc]progress: [ 100 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (* (+ 1 x) (- (* 1 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 101 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (+ (pow 1 3) (pow x 3)) (+ 1 x)) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (237 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (* x x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (fma (fma x x x) (* x x) (+ x 1)) (+ (* 1 1) (- (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 102 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (312 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (- x) (+ 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (/ (fma (fma x x x) (- x) (+ 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 103 / 115 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma x (- (* 2 x) 2) 1))))) * * * * [misc]progress: [ 105 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 106 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 107 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 108 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 109 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 110 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (atan (/ (sqrt (- 1 (* x x))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (/ (sqrt (- 1 (* x x))) (+ x 1))))) * * * * [misc]progress: [ 111 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (atan (/ (sqrt (- 1 (* x x))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (/ (sqrt (- 1 (* x x))) (+ x 1))))) * * * * [misc]progress: [ 112 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (/ 1 (+ x 1)) (sqrt (- 1 (pow x 2))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (42 enodes) * * [misc]simplify: iters left: 1 (45 enodes) * [exit]simplify: Simplified to (atan (/ (sqrt (- 1 (* x x))) (+ x 1))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (/ (sqrt (- 1 (* x x))) (+ x 1))))) * * * * [misc]progress: [ 113 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (pow x 2) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (fma x (+ x 2) 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (fma x (+ x 2) 1)))))) * * * * [misc]progress: [ 114 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (pow x 2) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (fma x (+ x 2) 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (fma x (+ x 2) 1)))))) * * * * [misc]progress: [ 115 / 115 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 2 x) (+ (pow x 2) 1)) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (fma x (+ x 2) 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (fma x (+ x 2) 1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 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 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [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 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x)))) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [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 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [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 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x)))) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [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 2) (log x))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) 0) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x))) (pow (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (- (exp (+ (log 2) (log (/ 1 x)))) (* 1/4 (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (- (exp (+ (log 2) (log (/ 1 x)))) 1)))))) (pow (/ 1 x) 2)) (+ (* (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (exp (+ (log 2) (log (/ 1 x)))))) (/ 1 x)) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1)))) into (- (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) x) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (* 1/8 (* (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))))))) * [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 -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [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 -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (exp (+ (log -2) (log x))) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [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 -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [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 -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (exp (+ (log -2) (log x))) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 -2) (log x))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log -2) (log x))) (pow (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) into (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- (exp (+ (log -2) (log (/ 1 (- x))))) (* 1/4 (/ (pow (exp (+ (log -2) (log (/ 1 (- x))))) 2) (- (exp (+ (log -2) (log (/ 1 (- x))))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))) (exp (+ (log -2) (log (/ 1 (- x))))))) (/ 1 (- x))) (sqrt (- (exp (+ (log -2) (log (/ 1 (- x))))) 1)))) into (- (+ (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))) (sqrt (- (exp (+ (log -2) (log (/ -1 x)))) 1))) (+ (* 1/8 (* (/ (pow (exp (+ (log -2) (log (/ -1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log -2) (log (/ -1 x)))) 1) 3))))) (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) x) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))))) * * * * [misc]progress: [ 3 / 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 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [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 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [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 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log 2) (log x))) 1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 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 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- (exp (+ (log 2) (log x)))) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [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 2) (log x))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) 0) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log 2) (log (/ 1 x)))) (pow (/ 1 x) 2)) (+ (* (- (exp (+ (log 2) (log (/ 1 x))))) (/ 1 x)) (- (exp (+ (log 2) (log (/ 1 x)))) 1))) into (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ (/ (exp (+ (log 2) (log (/ 1 x)))) x) 1)) * [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 -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [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 -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [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 -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log -2) (log x))) 1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 -2) (log x))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log -2) (log (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) (+ (* (exp (+ (log -2) (log (/ 1 (- x))))) (/ 1 (- x))) (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))) into (- (+ (exp (+ (log -2) (log (/ -1 x)))) (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2))) (+ (/ (exp (+ (log -2) (log (/ -1 x)))) x) 1)) * * * * [misc]progress: [ 4 / 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) (+ x 1)))))) * [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) (+ x 1)))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * [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 x) 1)))))) * [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 x) 1)))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * [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 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (atan (sqrt (expm1 (log1p (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (expm1 (log1p (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))))) into (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (exp (- (log (- 1 x)) (log1p x))))))))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (316 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: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 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 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 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 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* 1 (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) 1) (+ x 1)))))))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))))))))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fma (* x x) (- x) 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (fma (* x x) (- x) 1) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [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 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 44 / 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 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 (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 45 / 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: [ 46 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 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 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 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: [ 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 (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * * * * [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 # * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [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 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (fma x (- (* 2 x) 2) 1))))))) * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 71 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 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: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) x) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (* 1/8 (* (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (fma (* (/ 1/2 x) (/ (/ 2 x) x)) (sqrt (/ 1 (- (/ 2 x) 1))) (sqrt (- (/ 2 x) 1))) (fma (/ (* (/ 2 x) 1/8) (/ (* x x) (/ 2 x))) (sqrt (/ (/ 1 (- (/ 2 x) 1)) (* (- (/ 2 x) 1) (- (/ 2 x) 1)))) (* (sqrt (/ 1 (- (/ 2 x) 1))) (/ (* 1/2 (/ 2 x)) x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (fma (* (/ 1/2 x) (/ (/ 2 x) x)) (sqrt (/ 1 (- (/ 2 x) 1))) (sqrt (- (/ 2 x) 1))) (fma (/ (* (/ 2 x) 1/8) (/ (* x x) (/ 2 x))) (sqrt (/ (/ 1 (- (/ 2 x) 1)) (* (- (/ 2 x) 1) (- (/ 2 x) 1)))) (* (sqrt (/ 1 (- (/ 2 x) 1))) (/ (* 1/2 (/ 2 x)) x))))))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))) (sqrt (- (exp (+ (log -2) (log (/ -1 x)))) 1))) (+ (* 1/8 (* (/ (pow (exp (+ (log -2) (log (/ -1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log -2) (log (/ -1 x)))) 1) 3))))) (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) x) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (fma (* (/ 1/2 x) (* (/ -2 x) (/ -1 x))) (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (sqrt (fma -2 (/ -1 x) (- 1)))) (fma (* (* (/ -2 x) (/ -1 x)) (* (* (/ -2 x) (/ -1 x)) 1/8)) (sqrt (/ (/ 1 (fma -2 (/ -1 x) (- 1))) (* (fma -2 (/ -1 x) (- 1)) (fma -2 (/ -1 x) (- 1))))) (* (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (* (* (/ -2 x) (/ -1 x)) 1/2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (fma (* (/ 1/2 x) (* (/ -2 x) (/ -1 x))) (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (sqrt (fma -2 (/ -1 x) (- 1)))) (fma (* (* (/ -2 x) (/ -1 x)) (* (* (/ -2 x) (/ -1 x)) 1/8)) (sqrt (/ (/ 1 (fma -2 (/ -1 x) (- 1))) (* (fma -2 (/ -1 x) (- 1)) (fma -2 (/ -1 x) (- 1))))) (* (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (* (* (/ -2 x) (/ -1 x)) 1/2))))))) * * * * [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 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma x (- (* 2 x) 2) 1))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ (/ (exp (+ (log 2) (log (/ 1 x)))) x) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (- (/ (/ 2 x) x) (/ 2 x)) (- (/ 2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 1 x) (- (/ (/ 2 x) x) (/ 2 x)) (- (/ 2 x) 1)))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (+ (log -2) (log (/ -1 x)))) (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2))) (+ (/ (exp (+ (log -2) (log (/ -1 x)))) x) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (- (fma (/ (/ -2 x) x) (/ -1 x) (* (/ -1 x) -2)) (fma (/ -2 x) (/ -1 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (fma (/ (/ -2 x) x) (/ -1 x) (* (/ -1 x) -2)) (fma (/ -2 x) (/ -1 x) 1)))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 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) * * * [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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x)) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x)) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x)) 1)))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) 1/3) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (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)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) in x * [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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]taylor: Taking taylor expansion of (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (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))))) (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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 x) (+ x 1))))) into (log (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)) into (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 x) (+ x 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 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) (+ x 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 x) (+ x 1))))))) (+ (* (/ (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) (+ x 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (* (* (cbrt (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) (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))))))) (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)))))) (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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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))))))) (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)))))) (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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) into (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) into (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)) into (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 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 x) 1)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1))))))) (+ (* (/ (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 x) 1)))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (* (* (cbrt (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) (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)))))))) (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))))))) (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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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)))))))) (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))))))) (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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) into (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))) * [misc]backup-simplify: Simplify (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) into (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) * [misc]backup-simplify: Simplify (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)) into (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) * [misc]backup-simplify: Simplify (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x)))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (atan (sqrt (/ (+ (/ 1 x) 1) (- 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 x) 1) (- 1 (/ 1 x))))) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 2) 1/3) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (pow (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) 1/3)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 83 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 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)))))) (* (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 8 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 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)))))) (* (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 9 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (* (cbrt 1) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 10 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 83 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 21 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 22 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 2 1) to (λ (x) (* 2 (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (* (cbrt 1) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 23 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 83 ] 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 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (* (* (* (cbrt (* (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 34 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (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)))))) (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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (* (* (* (cbrt 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 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) (+ (+ 1/3 1/3) 1/3)))) * [enter]simplify: Simplifying (+ (+ 1/3 1/3) 1/3) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (4 enodes) * [exit]simplify: Simplified to (+ (+ 1/3 1/3) 1/3) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (pow (atan (sqrt (/ (- 1 x) (+ 1 x)))) (+ (+ 1/3 1/3) 1/3)))) * * * * [misc]progress: [ 43 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (+ 1 1) 1)))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (+ 1 1) 1)))) * * * * [misc]progress: [ 44 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ 2 1)))) * [enter]simplify: Simplifying (+ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ 1 2) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ 1 2)))) * * * * [misc]progress: [ 45 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (+ 1 1) 1)))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to (+ (+ 1 1) 1) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (+ (+ 1 1) 1)))) * * * * [misc]progress: [ 46 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) 1/3))) * * * * [misc]progress: [ 47 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (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 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1))) * * * * [misc]progress: [ 48 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (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 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1))) * * * * [misc]progress: [ 49 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) 3))) * * * * [misc]progress: [ 50 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (+ 1 1) 1)))) * * * * [misc]progress: [ 51 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ 2 1)))) * * * * [misc]progress: [ 52 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (pow (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) (+ (+ 1 1) 1)))) * * * * [misc]progress: [ 53 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (exp (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) * * * * [misc]progress: [ 55 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (exp (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (+ (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))) (log (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))))) * * * * [misc]progress: [ 56 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 3)))) * * * * [misc]progress: [ 59 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (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) (+ 1 x))))))) (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (151 enodes) * * [misc]simplify: iters left: 1 (161 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: [ 60 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (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 (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 65 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (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 (sqrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (cbrt (sqrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 66 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt 1)) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 67 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (cbrt (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 (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))))) (cbrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 68 / 83 ] 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 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (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)))))) (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))))) (sqrt (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 69 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 2) to (λ (x) (* 2 (* (* (* (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x)))))) 1) (cbrt (atan (sqrt (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 70 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (- 1 x) (+ x 1))))) * [misc]simplify: Simplified (2 2 1) 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: [ 71 / 83 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 74 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 75 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 77 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 78 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 80 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (sqrt (/ (- 1 x) (+ x 1)))) 1/3) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (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: [ 81 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 82 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 83 / 83 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 4 branch expressions: (x (/ (- 1 x) (+ 1 x)) (sqrt (/ (- 1 x) (+ 1 x))) (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * * [misc]regimes: Trying to branch on (/ (- 1 x) (+ 1 x)) from (# # #) * * * * [misc]regimes: Trying to branch on (sqrt (/ (- 1 x) (+ 1 x))) from (# # #) * * * * [misc]regimes: Trying to branch on (atan (sqrt (/ (- 1 x) (+ 1 x)))) from (# # #) * * * [misc]regime: Found split indices: #