* [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: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 198 additional inputs, on iter 1 have 58 / 256 * * * * [misc]points: Computing exacts on every 12 of 198 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 6 of 198 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 198 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 198 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 154 additional inputs, on iter 2 have 102 / 256 * * * * [misc]points: Computing exacts on every 9 of 154 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 4 of 154 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 154 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 154 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 122 additional inputs, on iter 3 have 134 / 256 * * * * [misc]points: Computing exacts on every 7 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 3 of 122 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 122 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 91 additional inputs, on iter 4 have 165 / 256 * * * * [misc]points: Computing exacts on every 5 of 91 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 91 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 91 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 70 additional inputs, on iter 5 have 186 / 256 * * * * [misc]points: Computing exacts on every 4 of 70 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 70 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 70 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 47 additional inputs, on iter 6 have 209 / 256 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 47 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 35 additional inputs, on iter 7 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 29 additional inputs, on iter 8 have 227 / 256 * * * * [misc]points: Computing exacts for 29 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 23 additional inputs, on iter 9 have 233 / 256 * * * * [misc]points: Computing exacts for 23 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 21 additional inputs, on iter 10 have 235 / 256 * * * * [misc]points: Computing exacts for 21 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 11 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 12 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 10 additional inputs, on iter 13 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 14 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [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 (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [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 / 4 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0 * [misc]backup-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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -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 (- 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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0 * [misc]backup-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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1) * [misc]approximate: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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) (/ (sqrt (- 1 (* x x))) 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 2 (/ 1 x)))) into (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) 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 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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (+ (* 1 (/ 1 x)) (sqrt -1))) into (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * [misc]approximate: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) 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 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (+ (* -1 (/ 1 (- x))) (- (sqrt -1)))) into (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 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 (- (log 2) (log x)) into (- (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2 1)))) 1) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 2 1)))) 2) into -1/4 * [misc]backup-simplify: Simplify -1/4 into -1/4 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 2 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 2 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 2 1)))) 6) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify (+ 0 -1/8) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 2 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 2 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 2 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 2 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 2 1)))) 24) into -3/32 * [misc]backup-simplify: Simplify -3/32 into -3/32 * [misc]backup-simplify: Simplify (+ (* -3/32 (pow x 4)) (+ (* -1/4 (pow x 2)) (- (log 2) (log x)))) into (- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x)))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/6 (pow (sqrt -1) 3)) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/6 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (log (sqrt -1)))) into (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (* -1 (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [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 (- 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -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 (- 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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (sqrt -1)) 1)))) 6) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/6 (pow (sqrt -1) 3)) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/6 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1 (sqrt -1)) (/ 1 (- x))) (log (- (sqrt -1))))) into (- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x 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 (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))) * * * * [misc]progress: [ 10 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))) * * * * [misc]progress: [ 11 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (* (sqrt 1) (sqrt (- 1 (* x x)))) x)))) * * * * [misc]progress: [ 12 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))) * * * * [misc]progress: [ 13 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (/ (sqrt (fma (pow x 3) (- x) 1)) (sqrt (+ 1 (* x x)))) x)))) * * * * [misc]progress: [ 14 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 93 ] 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 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (/ (fabs (sqrt (- 1 (* x x)))) x)))) * * * * [misc]progress: [ 16 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 27 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ x (cbrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 30 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x 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 (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (fabs (cbrt (- 1 (* x x)))) (/ x (sqrt (cbrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 31 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 32 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt 1) (/ x (sqrt (- 1 (* x x)))))))) * * * * [misc]progress: [ 33 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))) * * * * [misc]progress: [ 34 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))))) * * * * [misc]progress: [ 36 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (fma (pow x 3) (- x) 1)) (* x (sqrt (+ 1 (* x x)))))))) * * * * [misc]progress: [ 37 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (fma (* (cbrt (/ 1 x)) (cbrt (/ 1 x))) (cbrt (/ 1 x)) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 40 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (6 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (fma (sqrt (/ 1 x)) (sqrt (/ 1 x)) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 41 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 x)) (exp (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (log (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))))) * * * * [misc]progress: [ 44 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fma x (sqrt (- 1 (* x x))) x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (/ (fma x (sqrt (- 1 (* x x))) x) (* x x)))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (/ (fma x (sqrt (- 1 (* x x))) x) (* x x)))) * * * * [misc]progress: [ 51 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* 1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 55 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* 1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 56 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * [enter]simplify: Simplifying (+ 1 (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 57 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 1) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * [enter]simplify: Simplifying (+ 1 (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (/ 1 x) (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 58 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (* (+ (sqrt (- 1 (* x x))) 1) (/ 1 x)))) * * * * [misc]progress: [ 59 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 63 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))))) * * * * [misc]progress: [ 64 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 65 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 66 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 67 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (- (log x)) (log (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 68 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * * [misc]simplify: iters left: 1 (11 enodes) * [exit]simplify: Simplified to (- (log x)) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (- (log x)) (log (+ 1 (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 69 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log1p (sqrt (- 1 (* x x)))) (log (/ 1 x)))) * * * * [misc]progress: [ 70 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (39 enodes) * [exit]simplify: Simplified to (log (fma (sqrt (- 1 (* x x))) x x)) * [misc]simplify: Simplified (2 1) to (λ (x) (- (log (fma (sqrt (- 1 (* x x))) x x)) (log (* x x)))) * * * * [misc]progress: [ 71 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (152 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (log (+ (/ (/ 1 x) (* x x)) (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))))) (log (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 72 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (370 enodes) * [exit]simplify: Simplified to (log (fma (/ 1 x) (/ 1 x) (* (- x (/ 1 x)) (/ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (log (fma (/ 1 x) (/ 1 x) (* (- x (/ 1 x)) (/ 1 x)))) (log (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 73 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) 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 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [misc]simplify: Simplified (2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 76 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 77 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 79 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 80 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 81 / 93 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (- (fma (- x) (* x 1/2) 1) (* 1/8 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (fma (- x) (* x 1/2) 1) (* 1/8 (pow x 4))) x)))) * * * * [misc]progress: [ 83 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (- (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ 1/8 x) (* x x)) (* (sqrt -1) -1))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ 1/8 x) (* x x)) (* (sqrt -1) -1))) x)))) * * * * [misc]progress: [ 84 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/8 (sqrt -1)) (* (- x) (* x x))) (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (- (/ (/ 1/8 (sqrt -1)) (* (- x) (* x x))) (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1)))) x)))) * * * * [misc]progress: [ 85 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x (* 1/8 x) 1/2) (/ 1 x)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (fma (- x) (fma x (* 1/8 x) 1/2) (/ 1 x))))) * * * * [misc]progress: [ 86 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x)))))) * * * * [misc]progress: [ 87 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1)))))) * * * * [misc]progress: [ 88 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (106 enodes) * * [misc]simplify: iters left: 2 (244 enodes) * * [misc]simplify: iters left: 1 (358 enodes) * [exit]simplify: Simplified to (fma (- x) (fma (* 1/8 x) x 1/2) (/ 2 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (log (fma (- x) (fma (* 1/8 x) x 1/2) (/ 2 x)))) * * * * [misc]progress: [ 89 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (/ 1 x))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (135 enodes) * * [misc]simplify: iters left: 1 (196 enodes) * [exit]simplify: Simplified to (fma (/ (/ 1 x) (sqrt -1)) (/ 1/2 x) (+ (/ 1 x) (sqrt -1))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (fma (/ (/ 1 x) (sqrt -1)) (/ 1/2 x) (+ (/ 1 x) (sqrt -1))))) * * * * [misc]progress: [ 90 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (221 enodes) * * [misc]simplify: iters left: 1 (498 enodes) * [exit]simplify: Simplified to (fma (/ (/ 1 x) x) (/ (- 1/2) (sqrt -1)) (- (/ 1 x) (sqrt -1))) * [misc]simplify: Simplified (2 1) to (λ (x) (log (fma (/ (/ 1 x) x) (/ (- 1/2) (sqrt -1)) (- (/ 1 x) (sqrt -1))))) * * * * [misc]progress: [ 91 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log 2) (+ (* 1/4 (pow x 2)) (+ (* 3/32 (pow x 4)) (log x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (122 enodes) * * [misc]simplify: iters left: 2 (260 enodes) * * [misc]simplify: iters left: 1 (482 enodes) * [exit]simplify: Simplified to (- (fma (- 3/32) (pow x 4) (log 2)) (fma 1/4 (* x x) (log x))) * [misc]simplify: Simplified (2) to (λ (x) (- (fma (- 3/32) (pow x 4) (log 2)) (fma 1/4 (* x x) (log x)))) * * * * [misc]progress: [ 92 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt -1)) (/ (/ 1 x) (sqrt -1))) (/ (/ 1/6 (sqrt -1)) (* (- x) (* x x)))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (log (sqrt -1)) (/ (/ 1 x) (sqrt -1))) (/ (/ 1/6 (sqrt -1)) (* (- x) (* x x))))) * * * * [misc]progress: [ 93 / 93 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (fma (/ (/ (/ 1 x) (sqrt -1)) -1) (/ 1/6 (* x x)) (- (log (- (sqrt -1))) (/ (/ 1 x) (sqrt -1)))) * [misc]simplify: Simplified (2) to (λ (x) (fma (/ (/ (/ 1 x) (sqrt -1)) -1) (/ 1/6 (* x x)) (- (log (- (sqrt -1))) (/ (/ 1 x) (sqrt -1))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* x x))) x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* x x))) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* x 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (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 (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* x x))) x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* x x))) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* x 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (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 x))) -1) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log x))) 1) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (- (log x))) 0) into (exp (- (log x))) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify (+ 0 -1/2) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow -1 1) 1)))) into (* -1/2 (exp (- (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1/2 (exp (- (log x)))) 0) into (- (* 1/2 (exp (- (log x))))) * [misc]backup-simplify: Simplify (- (* 1/2 (exp (- (log x))))) into (- (* 1/2 (exp (- (log x))))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/2 (exp (- (log x))))) (pow x 2)) (+ (* (exp (- (log x))) x) (- (exp (- (log x))) 1))) into (- (+ (* x (exp (- (log x)))) (exp (- (log x)))) (+ (* 1/2 (* (pow x 2) (exp (- (log x))))) 1)) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) * [misc]backup-simplify: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) * [misc]backup-simplify: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) * [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 (+ (+ (sqrt -1) 1) -1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 1) 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 (/ 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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt -1) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt -1) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)) (* (/ (pow 0 1) 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 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/8 (/ 1 (pow (sqrt -1) 3))))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (+ (sqrt -1) 1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 3))) (* -3 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 2)) (pow (+ (sqrt -1) 1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (- (* 1/8 (/ 1 (pow (sqrt -1) 3))))) 1)) (pow (+ (sqrt -1) 1) 1)))) 24) into (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))))) * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 2) 2)) (* (/ (pow (* -1/24 (+ (* 3 (/ 1 (* (pow (sqrt -1) 2) (pow (+ (sqrt -1) 1) 2)))) (* 3 (/ 1 (* (pow (sqrt -1) 3) (+ (sqrt -1) 1)))))) 1) 1)))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/8 (pow (sqrt -1) 3)) 0) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 1 (* -1 (sqrt -1))) into (- 1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (- 1 (sqrt -1))) into (log (- 1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (- 1 (sqrt -1)))) into (- 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 1 (* -1 (sqrt -1))) into (- 1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (- 1 (sqrt -1))) into (log (- 1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (- 1 (sqrt -1)))) into (- 1 (sqrt -1)) * [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 (+ (- 1 (sqrt -1)) -1) into (- (sqrt -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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (sqrt -1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]backup-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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- 1 (sqrt -1)) 1)))) 2) into (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 1) 1)))) into (/ -1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqrt -1)) 0) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -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 (- 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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- 1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (sqrt -1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 1) 1)) (* (/ (pow 0 1) 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 (- 0) into 0 * [misc]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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0 * [misc]backup-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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (+ 0 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (- 1 (sqrt -1)) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- 1 (sqrt -1)) 3))) (* -3 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 2)) (pow (- 1 (sqrt -1)) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (- 1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (* 1/8 (/ 1 (pow (sqrt -1) 3)))) 1)) (pow (- 1 (sqrt -1)) 1)))) 24) into (* 1/24 (- (* 3 (/ 1 (* (- 1 (sqrt -1)) (pow (sqrt -1) 3)))) (* 3 (/ 1 (* (pow (- 1 (sqrt -1)) 2) (pow (sqrt -1) 2)))))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 2) 2)) (* (/ (pow (* 1/24 (- (* 3 (/ 1 (* (- 1 (sqrt -1)) (pow (sqrt -1) 3)))) (* 3 (/ 1 (* (pow (- 1 (sqrt -1)) 2) (pow (sqrt -1) 2)))))) 1) 1)))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/8 (pow (sqrt -1) 3)) 0) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (- (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0 * [misc]backup-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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking 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) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 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 (- 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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -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 (- 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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 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 (- 0) into 0 * [misc]backup-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)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 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 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) 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 (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* x x))) x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* x x))) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* x 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) 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 (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* x x))) x))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* x x))) x))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* x x))) x)) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* x x))) x))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* x 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 (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x 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]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 (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 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (exp (- (log x))) into (exp (- (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (log x)) into (- (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (- (log x))) -1) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (+ 0 (- (exp (- (log x))) 1)) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 (- (exp (- (log x))) 1)) 1)) (pow 1 1)))) 1) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (- (log x))) 1) into (- (exp (- (log x))) 1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (- (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (- (log x))) 0) into (exp (- (log x))) * [misc]backup-simplify: Simplify (+ 0 (exp (- (log x)))) into (exp (- (log x))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 (- (exp (- (log x))) 1)) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 (exp (- (log x)))) 1)) (pow 1 1)))) 2) into (* 1/2 (- (* 4 (exp (- (log x)))) (+ (pow (exp (- (log x))) 2) 1))) * [misc]backup-simplify: Simplify (* 1/2 (- (* 4 (exp (- (log x)))) (+ (pow (exp (- (log x))) 2) 1))) into (* 1/2 (- (* 4 (exp (- (log x)))) (+ (pow (exp (- (log x))) 2) 1))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (- (* 4 (exp (- (log x)))) (+ (pow (exp (- (log x))) 2) 1))) (pow x 2)) (+ (* (- (exp (- (log x))) 1) x) (- (log x)))) into (- (+ (* 2 (* (pow x 2) (exp (- (log x))))) (* x (exp (- (log x))))) (+ x (+ (* 1/2 (* (pow x 2) (pow (exp (- (log x))) 2))) (+ (* 1/2 (pow x 2)) (log x))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) * [misc]backup-simplify: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) * [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 (+ (+ (sqrt -1) 1) -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 x)) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 x)) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of 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]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 x) (/ 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 (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 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]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (/ 0 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 1 (sqrt -1)) into (+ (sqrt -1) 1) * [misc]backup-simplify: Simplify (log (+ (sqrt -1) 1)) into (log (+ (sqrt -1) 1)) * [misc]backup-simplify: Simplify (exp (log (+ (sqrt -1) 1))) into (+ (sqrt -1) 1) * [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 (+ (+ (sqrt -1) 1) -1) into (sqrt -1) * [misc]backup-simplify: Simplify (+ 0 (sqrt -1)) into (sqrt -1) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (+ (sqrt -1) 1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow (sqrt -1) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [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 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 1)))) 2) into (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ 1/2 (sqrt -1)) 0) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (+ 0 (* 1/2 (/ 1 (sqrt -1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [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 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (+ (sqrt -1) 1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (+ (sqrt -1) 1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (+ (sqrt -1) 1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (+ (sqrt -1) 1))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ 1/2 (* (sqrt -1) (+ (sqrt -1) 1))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 2 (/ (* (pow (* 1 1) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 1) 1) (pow (* 2 (* 1/2 (/ 1 (sqrt -1)))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/6 (pow (sqrt -1) 3)) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/6 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (log (sqrt -1)))) into (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * [misc]approximate: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 1 (* -1 (sqrt -1))) into (- 1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (- 1 (sqrt -1))) into (log (- 1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (- 1 (sqrt -1)))) into (- 1 (sqrt -1)) * [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 (+ (- 1 (sqrt -1)) -1) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (- (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) * [misc]taylor: Taking taylor expansion of (log (+ (/ 1 (/ 1 (- x))) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (+ (/ 1 (/ 1 (- x))) (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-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]taylor: Taking taylor expansion of (expm1 (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 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 (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 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]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -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 (* 2 (sqrt -1))) into 0 * [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 (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (+ 1 (* -1 (sqrt -1))) into (- 1 (sqrt -1)) * [misc]backup-simplify: Simplify (log (- 1 (sqrt -1))) into (log (- 1 (sqrt -1))) * [misc]backup-simplify: Simplify (exp (log (- 1 (sqrt -1)))) into (- 1 (sqrt -1)) * [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 (+ (- 1 (sqrt -1)) -1) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (+ 0 (- (sqrt -1))) into (- (sqrt -1)) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (sqrt -1))) * [misc]backup-simplify: Simplify (log (- (sqrt -1))) into (log (- (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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (- 1 (sqrt -1)) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ -1 0) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow (- (sqrt -1)) 1)))) 1) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [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 (- 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 (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (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 (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (- 1 (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- 1 (sqrt -1)) 1)))) 2) into (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 1) 1)))) into (/ -1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (/ -1/2 (sqrt -1)) 0) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (+ 0 (- (* 1/2 (/ 1 (sqrt -1))))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 1)))) 2) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]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 (- 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 (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -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 (- 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 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (- 1 (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- 1 (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- 1 (sqrt -1)) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (* (exp (log (- 1 (sqrt -1)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (/ -1/2 (* (- 1 (sqrt -1)) (sqrt -1))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [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 (/ (+ (* 2 (/ (* (pow (* 1 -1) 3)) (pow (- (sqrt -1)) 3))) (* -3 (/ (* (pow (* 1 -1) 1) (pow (* 2 (- (* 1/2 (/ 1 (sqrt -1))))) 1)) (pow (- (sqrt -1)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (- (sqrt -1)) 1)))) 6) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/6 (pow (sqrt -1) 3)) into (/ -1/6 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/6 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1 (sqrt -1)) (/ 1 (- x))) (log (- (sqrt -1))))) into (- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 77 ] 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 1 2 1) to (λ (x) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 5 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x 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 (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (* (fabs (cbrt (- 1 (* x x)))) (sqrt (cbrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 21 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (* (sqrt (sqrt (- 1 (* x x)))) (sqrt (sqrt (- 1 (* x x))))) x)))))) * * * * [misc]progress: [ 22 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (* (sqrt 1) (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 23 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (/ (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) x)))))) * * * * [misc]progress: [ 24 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [misc]simplify: Simplified (2 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (/ (sqrt (fma (pow x 3) (- x) 1)) (sqrt (+ 1 (* x x)))) x)))))) * * * * [misc]progress: [ 25 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 26 / 77 ] 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 1 2 1 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (fabs (sqrt (- 1 (* x x)))) x)))))) * * * * [misc]progress: [ 27 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ x (cbrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 41 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x 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 (fabs (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (fabs (cbrt (- 1 (* x x)))) (/ x (sqrt (cbrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 42 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 43 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt 1) (/ x (sqrt (- 1 (* x x)))))))))) * * * * [misc]progress: [ 44 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 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 (sqrt (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (sqrt (- 1 (* x x)))) (/ x (sqrt (sqrt (- 1 (* x x))))))))))) * * * * [misc]progress: [ 45 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1)) (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))))))))) * * * * [misc]progress: [ 47 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (fma (pow x 3) (- x) 1)) (* x (sqrt (+ 1 (* x x)))))))))) * * * * [misc]progress: [ 48 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))) (cbrt (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (log (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log (* (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (cbrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) (log (cbrt (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 51 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (log (sqrt (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))))))) * * * * [misc]progress: [ 52 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 53 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 54 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [misc]simplify: Simplified (2 1) to (λ (x) (+ (log 1) (log (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 55 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (pow (/ 1 x) 3) (pow (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) 3))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (142 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (log (+ (/ (/ 1 x) (* x x)) (* (- (/ (/ 1 x) (* x x)) (/ 1 x)) (sqrt (- 1 (* x x)))))) (log (+ (* (/ 1 x) (/ 1 x)) (- (* (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))) (* (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))))) * * * * [misc]progress: [ 56 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* (/ 1 x) (/ 1 x)) (* (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (166 enodes) * * [misc]simplify: iters left: 1 (350 enodes) * [exit]simplify: Simplified to (log (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) * [misc]simplify: Simplified (2 1) to (λ (x) (- (log (- (/ 1 (* x x)) (/ (- 1 (* x x)) (* x x)))) (log (- (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x))))))) * * * * [misc]progress: [ 57 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (expm1 (log1p (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) * [misc]simplify: Simplified (2 1) to (λ (x) (log (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) * * * * [misc]progress: [ 60 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 77 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (exp (- (log x)))) (exp (- (log x)))) (+ (* 1/2 (* (pow x 2) (exp (- (log x))))) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (91 enodes) * * [misc]simplify: iters left: 3 (218 enodes) * [exit]simplify: Simplified to (- (+ (/ 1 x) 1) (fma x 1/2 1)) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (- (+ (/ 1 x) 1) (fma x 1/2 1))))) * * * * [misc]progress: [ 67 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x)))))) * * * * [misc]progress: [ 68 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1))) * [misc]simplify: Simplified (2 1 2) to (λ (x) (log (+ (/ 1 x) (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1)))))) * * * * [misc]progress: [ 69 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (69 enodes) * * [misc]simplify: iters left: 2 (128 enodes) * * [misc]simplify: iters left: 1 (167 enodes) * [exit]simplify: Simplified to (- (fma (- x) (* x 1/2) 1) (* 1/8 (pow x 4))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (- (fma (- x) (* x 1/2) 1) (* 1/8 (pow x 4))) x)))))) * * * * [misc]progress: [ 70 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1))))) (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (109 enodes) * * [misc]simplify: iters left: 3 (261 enodes) * [exit]simplify: Simplified to (- (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ 1/8 x) (* x x)) (* (sqrt -1) -1))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (- (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) (/ (/ (/ 1/8 x) (* x x)) (* (sqrt -1) -1))) x)))))) * * * * [misc]progress: [ 71 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* x (sqrt -1)) (* 1/2 (/ 1 (* x (sqrt -1)))))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (- (/ (/ 1/8 (sqrt -1)) (* (- x) (* x x))) (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1)))) * [misc]simplify: Simplified (2 1 2 1 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (/ (- (/ (/ 1/8 (sqrt -1)) (* (- x) (* x x))) (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1)))) x)))))) * * * * [misc]progress: [ 72 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (/ 1 x) (+ (* 1/2 x) (* 1/8 (pow x 3)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * * [misc]simplify: iters left: 1 (308 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x (* 1/8 x) 1/2) (/ 1 x)) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (fma (- x) (fma x (* 1/8 x) 1/2) (/ 1 x))))))) * * * * [misc]progress: [ 73 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (101 enodes) * * [misc]simplify: iters left: 3 (200 enodes) * * [misc]simplify: iters left: 2 (458 enodes) * [exit]simplify: Simplified to (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (+ (fma (/ (- 1/8) (pow x 4)) (/ (/ 1 -1) (sqrt -1)) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x)))))))) * * * * [misc]progress: [ 74 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1/8 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) * * [misc]simplify: iters left: 6 (20 enodes) * * [misc]simplify: iters left: 5 (45 enodes) * * [misc]simplify: iters left: 4 (95 enodes) * * [misc]simplify: iters left: 3 (173 enodes) * * [misc]simplify: iters left: 2 (396 enodes) * [exit]simplify: Simplified to (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1))) * [misc]simplify: Simplified (2 1 2 1 1) to (λ (x) (log (+ (/ 1 x) (expm1 (log1p (fma (/ 1 (sqrt -1)) (- (/ (/ 1/8 -1) (pow x 4)) (/ 1/2 (* x x))) (- (sqrt -1)))))))) * * * * [misc]progress: [ 75 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (* (pow x 2) (exp (- (log x))))) (* x (exp (- (log x))))) (+ x (+ (* 1/2 (* (pow x 2) (pow (exp (- (log x))) 2))) (+ (* 1/2 (pow x 2)) (log x))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (172 enodes) * [exit]simplify: Simplified to (- (+ (- (/ x x) x) (* (* 2 x) (/ x x))) (fma 1/2 (* (/ x x) (/ x x)) (fma (* x x) 1/2 (log x)))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (- (/ x x) x) (* (* 2 x) (/ x x))) (fma 1/2 (* (/ x x) (/ x x)) (fma (* x x) 1/2 (log x))))) * * * * [misc]progress: [ 76 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (sqrt -1)) (/ 1 (* x (sqrt -1)))) (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (38 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (223 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt -1)) (/ (/ 1 x) (sqrt -1))) (/ (/ 1/6 (sqrt -1)) (* (- x) (* x x)))) * [misc]simplify: Simplified (2) to (λ (x) (- (+ (log (sqrt -1)) (/ (/ 1 x) (sqrt -1))) (/ (/ 1/6 (sqrt -1)) (* (- x) (* x x))))) * * * * [misc]progress: [ 77 / 77 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (log (- (sqrt -1)))) (/ 1 (* x (sqrt -1)))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (87 enodes) * * [misc]simplify: iters left: 3 (186 enodes) * * [misc]simplify: iters left: 2 (432 enodes) * [exit]simplify: Simplified to (fma (/ (/ (/ 1 x) (sqrt -1)) -1) (/ 1/6 (* x x)) (- (log (- (sqrt -1))) (/ (/ 1 x) (sqrt -1)))) * [misc]simplify: Simplified (2) to (λ (x) (fma (/ (/ (/ 1 x) (sqrt -1)) -1) (/ 1/6 (* x x)) (- (log (- (sqrt -1))) (/ (/ 1 x) (sqrt -1))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 3 branch expressions: (x (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]regimes: Trying to branch on x from (# #) * * * * [misc]regimes: Trying to branch on (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) from (# #) * * * * [misc]regimes: Trying to branch on (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) from (# #) * * * [misc]regime: Found split indices: #