* [misc]progress: [Phase 1 of 3] Setting up. * * * [misc]progress: [1/2] Preparing points * * * * [misc]points: Sampling 256 additional inputs, on iter 0 have 0 / 256 * * * * [misc]points: Computing exacts on every 16 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 8 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 256 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 256 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 189 additional inputs, on iter 1 have 67 / 256 * * * * [misc]points: Computing exacts on every 11 of 189 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 5 of 189 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 189 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 189 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 140 additional inputs, on iter 2 have 116 / 256 * * * * [misc]points: Computing exacts on every 8 of 140 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 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 140 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 104 additional inputs, on iter 3 have 152 / 256 * * * * [misc]points: Computing exacts on every 6 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 104 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 104 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 78 additional inputs, on iter 4 have 178 / 256 * * * * [misc]points: Computing exacts on every 4 of 78 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 78 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 78 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 56 additional inputs, on iter 5 have 200 / 256 * * * * [misc]points: Computing exacts on every 3 of 56 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 56 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 6 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 40 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 33 additional inputs, on iter 7 have 223 / 256 * * * * [misc]points: Computing exacts on every 2 of 33 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 33 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 8 have 232 / 256 * * * * [misc]points: Computing exacts for 24 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 17 additional inputs, on iter 9 have 239 / 256 * * * * [misc]points: Computing exacts for 17 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 16 additional inputs, on iter 10 have 240 / 256 * * * * [misc]points: Computing exacts for 16 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 11 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 11 additional inputs, on iter 12 have 245 / 256 * * * * [misc]points: Computing exacts for 11 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 9 additional inputs, on iter 13 have 247 / 256 * * * * [misc]points: Computing exacts for 9 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 7 additional inputs, on iter 14 have 249 / 256 * * * * [misc]points: Computing exacts for 7 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 15 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 6 additional inputs, on iter 16 have 250 / 256 * * * * [misc]points: Computing exacts for 6 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (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) * [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 / 2 ] rewriting at (2) * * * * [misc]progress: [ 2 / 2 ] rewriting at (2 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 2 ] 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 (- (+ (/ 1 (* (sqrt -1) x)) (log (sqrt -1))) (* 1/6 (/ 1 (* (pow (sqrt -1) 3) (pow x 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 (sqrt -1) 3) (pow x 3)))) (log (- (sqrt -1)))) (/ 1 (* (sqrt -1) x))) * * * * [misc]progress: [ 2 / 2 ] 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)) (+ (* 1/8 (pow x 3)) (* 1/2 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]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 (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 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) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 43 ] 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) * [exit]simplify: Simplified to (+ (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [exit]simplify: Simplified to (+ (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [enter]simplify: Simplifying (log (cbrt (+ (/ 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) * [exit]simplify: Simplified to (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 2 / 43 ] 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) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [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) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 3 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 4 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 5 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (log 1) * [exit]simplify: Simplified to (log 1) * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 6 / 43 ] 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)) * [exit]simplify: Simplified to (- (log x)) * [enter]simplify: Simplifying (log (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 7 / 43 ] 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)) * [exit]simplify: Simplified to (- (log x)) * [enter]simplify: Simplifying (log (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 8 / 43 ] 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 (16 enodes) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (log (+ (sqrt (- 1 (* x x))) 1)) * [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)) * [exit]simplify: Simplified to (- (log x)) * * * * [misc]progress: [ 9 / 43 ] 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 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (log (* x (+ 1 (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (log (* x (+ 1 (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (log (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (+ (log x) (log x)) * [exit]simplify: Simplified to (+ (log x) (log x)) * * * * [misc]progress: [ 10 / 43 ] 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 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (log (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [exit]simplify: Simplified to (log (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [enter]simplify: Simplifying (log (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (log (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [exit]simplify: Simplified to (log (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * * * * [misc]progress: [ 11 / 43 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (175 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (log (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) * [exit]simplify: Simplified to (log (+ (- (/ 1 (* x x)) (/ 1 (* x x))) (/ x x))) * [enter]simplify: Simplifying (log (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 12 / 43 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 13 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (log (+ (/ 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) * [exit]simplify: Simplified to (log (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 16 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (log (+ (/ 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 17 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [exit]simplify: Simplified to (* (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [enter]simplify: Simplifying (cbrt (log (+ (/ 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) * [exit]simplify: Simplified to (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (cbrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 18 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (pow (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 3) * [exit]simplify: Simplified to (pow (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) 3) * * * * [misc]progress: [ 19 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (log (+ (/ 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) * [exit]simplify: Simplified to (sqrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (log (+ (/ 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) * [exit]simplify: Simplified to (sqrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 20 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 43 ] 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) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 22 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 43 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 24 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 25 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 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) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (cbrt (+ (/ 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) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 26 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * * * * [misc]progress: [ 27 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 28 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 29 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [enter]simplify: Simplifying (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * * * * [misc]progress: [ 30 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [enter]simplify: Simplifying (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 32 / 43 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 33 / 43 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 34 / 43 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 35 / 43 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 36 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- 1 (* x x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 37 / 43 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 43 ] 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 (25 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (197 enodes) * * [misc]simplify: iters left: 1 (315 enodes) * [exit]simplify: Simplified to (- (- (log 2) (* (pow x 4) 3/32)) (+ (log x) (* x (* 1/4 x)))) * * * * [misc]progress: [ 39 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (* (sqrt -1) x)) (log (sqrt -1))) (* 1/6 (/ 1 (* (pow (sqrt -1) 3) (pow x 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 (240 enodes) * [exit]simplify: Simplified to (- (+ (log (sqrt -1)) (/ (/ 1 (sqrt -1)) x)) (/ (/ (/ 1/6 x) (* x x)) (* (sqrt -1) -1))) * * * * [misc]progress: [ 40 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/6 (/ 1 (* (pow (sqrt -1) 3) (pow x 3)))) (log (- (sqrt -1)))) (/ 1 (* (sqrt -1) x))) * * [misc]simplify: iters left: 6 (17 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (83 enodes) * * [misc]simplify: iters left: 3 (196 enodes) * * [misc]simplify: iters left: 2 (467 enodes) * [exit]simplify: Simplified to (+ (log (* -1 (sqrt -1))) (- (/ (/ 1/6 (sqrt -1)) (* (- x) (* x x))) (/ 1 (* (sqrt -1) x)))) * * * * [misc]progress: [ 41 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (* 2 (/ 1 x)) (+ (* 1/8 (pow x 3)) (* 1/2 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (155 enodes) * * [misc]simplify: iters left: 1 (203 enodes) * [exit]simplify: Simplified to (log (- (- (/ 2 x) (* 1/2 x)) (* (* x x) (* x 1/8)))) * * * * [misc]progress: [ 42 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 1 x)))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (127 enodes) * * [misc]simplify: iters left: 1 (240 enodes) * [exit]simplify: Simplified to (log (+ (/ (/ (/ 1/2 x) (sqrt -1)) x) (+ (/ 1 x) (sqrt -1)))) * * * * [misc]progress: [ 43 / 43 ] simplifiying candidate # * [enter]simplify: Simplifying (log (- (/ 1 x) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (102 enodes) * * [misc]simplify: iters left: 2 (219 enodes) * [exit]simplify: Simplified to (log (- (- (/ 1 x) (sqrt -1)) (/ (/ 1/2 (sqrt -1)) (* x x)))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) +nan.0)) into (- (+ (* +nan.0 (pow x 2)) (- (+ +nan.0 (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (sqrt -1)) into (sqrt (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 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (sqrt -1)) into (sqrt (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 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/2 (sqrt (/ 1 (sqrt -1)))) into (* 1/2 (sqrt (/ 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 (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (sqrt (sqrt -1)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (/ 1 x))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (- (sqrt -1))) into (sqrt (- (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 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (- (sqrt -1))) into (sqrt (- (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 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt (- (sqrt -1)))) into (/ -1/2 (sqrt (- (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 (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x))) (sqrt (- (sqrt -1)))) (+ (* 1/4 (/ 1 (* (sqrt -1) (* (sqrt (- (sqrt -1))) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 1) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow x 2)) (+ (* +nan.0 x) +nan.0)) into (- (+ (* +nan.0 (pow x 2)) (- (+ +nan.0 (- (* +nan.0 x)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 x)) (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (sqrt -1)) into (sqrt (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 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (sqrt -1)) into (sqrt (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 (* 2 (sqrt (sqrt -1)))) into (* 1/2 (sqrt (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (sqrt -1)) into (sqrt (sqrt -1)) * [misc]backup-simplify: Simplify (* 1/2 (sqrt (/ 1 (sqrt -1)))) into (* 1/2 (sqrt (/ 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 (/ (- (* 1/2 (/ 1 (sqrt -1))) (pow (* 1/2 (sqrt (/ 1 (sqrt -1)))) 2) (+)) (* 2 (sqrt (sqrt -1)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) into (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (* 1/8 (sqrt (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 2)) (+ (* (* 1/2 (sqrt (/ 1 (sqrt -1)))) (/ 1 x)) (sqrt (sqrt -1)))) into (+ (sqrt (sqrt -1)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (/ 1 x))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (sqrt (+ (/ 1 (/ 1 (- x))) (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (- (sqrt -1))) into (sqrt (- (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 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ (/ 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 (sqrt (- (sqrt -1))) into (sqrt (- (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 (* 2 (sqrt (- (sqrt -1))))) into (/ -1/2 (sqrt (- (sqrt -1)))) * [misc]backup-simplify: Simplify (sqrt (- (sqrt -1))) into (sqrt (- (sqrt -1))) * [misc]backup-simplify: Simplify (/ -1/2 (sqrt (- (sqrt -1)))) into (/ -1/2 (sqrt (- (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 (/ (- (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ -1/2 (sqrt (- (sqrt -1)))) 2) (+)) (* 2 (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) into (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (* 1/2 (/ 1 (sqrt -1))) (* 1/4 (/ 1 (pow (sqrt (- (sqrt -1))) 2)))) (sqrt (- (sqrt -1))))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1/2 (sqrt (- (sqrt -1)))) (/ 1 (- x))) (sqrt (- (sqrt -1))))) into (- (+ (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x))) (sqrt (- (sqrt -1)))) (+ (* 1/4 (/ 1 (* (sqrt -1) (* (sqrt (- (sqrt -1))) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 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)) (+ (* 1/8 (pow x 3)) (* 1/2 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]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 (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 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) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 1 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)) (+ (* 1/8 (pow x 3)) (* 1/2 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]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 (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 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) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 86 ] 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) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 4 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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) * [exit]simplify: Simplified to (exp (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (exp (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 5 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [enter]simplify: Simplifying (cbrt (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) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 6 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 7 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 8 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 9 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 10 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 11 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 12 / 86 ] 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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 13 / 86 ] 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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 14 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * * * * [misc]progress: [ 15 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [exit]simplify: Simplified to (fabs x) * * * * [misc]progress: [ 16 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (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 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [exit]simplify: Simplified to (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * * * * [misc]progress: [ 17 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (/ 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) * [exit]simplify: Simplified to (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 18 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 19 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 86 ] 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) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 24 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (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) * [exit]simplify: Simplified to (exp (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (exp (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 25 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * [enter]simplify: Simplifying (cbrt (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) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (cbrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 26 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (75 enodes) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (* (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 27 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (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 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (fabs (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (cbrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 28 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 29 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 30 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 31 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [exit]simplify: Simplified to (sqrt 1) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 32 / 86 ] 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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 33 / 86 ] 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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * [enter]simplify: Simplifying (sqrt (+ 1 (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * * * [misc]progress: [ 34 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (sqrt (- 1 (* x x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [exit]simplify: Simplified to (sqrt (+ (sqrt (- 1 (* x x))) 1)) * [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)) * [exit]simplify: Simplified to (sqrt (/ 1 x)) * * * * [misc]progress: [ 35 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 x) (* x (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ x (* (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (sqrt (* x x)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (4 enodes) * [exit]simplify: Simplified to (fabs x) * [exit]simplify: Simplified to (fabs x) * * * * [misc]progress: [ 36 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (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 (55 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (243 enodes) * [exit]simplify: Simplified to (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [exit]simplify: Simplified to (sqrt (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x)))) * [enter]simplify: Simplifying (sqrt (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (90 enodes) * * [misc]simplify: iters left: 3 (187 enodes) * * [misc]simplify: iters left: 2 (321 enodes) * [exit]simplify: Simplified to (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * [exit]simplify: Simplified to (sqrt (- (- (* (/ 1 x) (/ 1 x)) (- 1 (* (/ 1 x) (/ 1 x)))) (/ (sqrt (- 1 (* x x))) (* x x)))) * * * * [misc]progress: [ 37 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* (/ 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (89 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (385 enodes) * [exit]simplify: Simplified to (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) * [exit]simplify: Simplified to (sqrt (+ (- (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) (/ x x))) * [enter]simplify: Simplifying (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 38 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (sqrt (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) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (sqrt (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]progress: [ 39 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 86 ] 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) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 42 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 44 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 45 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 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) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (cbrt (+ (/ 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) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 46 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * * * * [misc]progress: [ 47 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 48 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 49 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [enter]simplify: Simplifying (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * * * * [misc]progress: [ 50 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [enter]simplify: Simplifying (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 52 / 86 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 53 / 86 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 54 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 55 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 56 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- 1 (* x x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 57 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 86 ] 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) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 59 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 61 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (exp (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 62 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 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) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (* (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (cbrt (+ (/ 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) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (cbrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 63 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (102 enodes) * * [misc]simplify: iters left: 3 (325 enodes) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * [exit]simplify: Simplified to (pow (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)) 3) * * * * [misc]progress: [ 64 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (sqrt (+ (/ 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) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 65 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* x (+ 1 (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (* x x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (* x x) * [exit]simplify: Simplified to (* x x) * * * * [misc]progress: [ 66 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (pow (/ 1 x) 3) (pow (/ (sqrt (- 1 (* x x))) x) 3)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (241 enodes) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [exit]simplify: Simplified to (+ (/ (sqrt (- 1 (* x x))) (/ (* x x) (- (/ 1 x) x))) (/ (/ 1 x) (* x x))) * [enter]simplify: Simplifying (+ (* (/ 1 x) (/ 1 x)) (- (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (* (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (36 enodes) * * [misc]simplify: iters left: 4 (89 enodes) * * [misc]simplify: iters left: 3 (184 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * [exit]simplify: Simplified to (- (- (+ (* (/ 1 x) (/ 1 x)) (* (/ 1 x) (/ 1 x))) 1) (/ (sqrt (- 1 (* x x))) (* x x))) * * * * [misc]progress: [ 67 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* (/ 1 x) (/ 1 x)) (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (169 enodes) * * [misc]simplify: iters left: 1 (399 enodes) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [exit]simplify: Simplified to (+ (- (/ (/ 1 x) x) (/ (/ 1 x) x)) (/ x x)) * [enter]simplify: Simplifying (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (- (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 69 / 86 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 70 / 86 ] 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) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 71 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 72 / 86 ] simplifiying candidate # * [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) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 73 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (sqrt (- 1 (* x x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 74 / 86 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (- (+ (* +nan.0 (pow x 2)) (- (+ +nan.0 (- (* +nan.0 x)))))))) * * * * [misc]progress: [ 76 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (+ (sqrt (sqrt -1)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (/ 1 x))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow x 2)))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (369 enodes) * [exit]simplify: Simplified to (+ (log (+ (+ (* (/ (/ 1/8 x) x) (sqrt (/ (/ 1 -1) (sqrt -1)))) (/ (sqrt (/ 1 (sqrt -1))) (/ x 1/2))) (sqrt (sqrt -1)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 77 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (- (+ (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x))) (sqrt (- (sqrt -1)))) (+ (* 1/4 (/ 1 (* (sqrt -1) (* (sqrt (- (sqrt -1))) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2)))))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (391 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (- (+ (sqrt (- (sqrt -1))) (/ (/ 1/2 x) (sqrt (- (sqrt -1))))) (* (/ (/ 1 (* x x)) (sqrt (- (sqrt -1)))) (+ (/ 1/4 (sqrt -1)) (/ 1/8 (- (sqrt -1)))))))) * * * * [misc]progress: [ 78 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (+ (* +nan.0 (pow x 2)) (- (+ +nan.0 (- (* +nan.0 x))))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 79 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (+ (sqrt (sqrt -1)) (+ (* 1/2 (* (sqrt (/ 1 (sqrt -1))) (/ 1 x))) (* 1/8 (* (sqrt (/ 1 (pow (sqrt -1) 3))) (/ 1 (pow x 2))))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (57 enodes) * * [misc]simplify: iters left: 4 (120 enodes) * * [misc]simplify: iters left: 3 (206 enodes) * * [misc]simplify: iters left: 2 (356 enodes) * * [misc]simplify: iters left: 1 (479 enodes) * [exit]simplify: Simplified to (+ (log (+ (+ (* (/ 1/2 x) (sqrt (/ 1 (sqrt -1)))) (sqrt (sqrt -1))) (* (/ (/ 1/8 x) x) (sqrt (/ (/ 1 -1) (sqrt -1)))))) (log (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))))) * * * * [misc]progress: [ 80 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (- (+ (* 1/2 (/ 1 (* (sqrt (- (sqrt -1))) x))) (sqrt (- (sqrt -1)))) (+ (* 1/4 (/ 1 (* (sqrt -1) (* (sqrt (- (sqrt -1))) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt (- (sqrt -1))) 3) (pow x 2))))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (157 enodes) * * [misc]simplify: iters left: 3 (389 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (log (- (+ (/ (/ 1/2 x) (sqrt (- (sqrt -1)))) (sqrt (- (sqrt -1)))) (* (/ (/ (/ 1 x) x) (sqrt (- (sqrt -1)))) (+ (/ 1/8 (- (sqrt -1))) (/ 1/4 (sqrt -1))))))) * * * * [misc]progress: [ 81 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (- (* 2 (/ 1 x)) (+ (* 1/8 (pow x 3)) (* 1/2 x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (110 enodes) * * [misc]simplify: iters left: 2 (168 enodes) * * [misc]simplify: iters left: 1 (199 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- (- (/ 2 x) (* 1/2 x)) (* (* x x) (* 1/8 x))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 82 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 1 x)))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (93 enodes) * * [misc]simplify: iters left: 2 (145 enodes) * * [misc]simplify: iters left: 1 (261 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (+ (/ 1 x) (sqrt -1)) (/ (/ (/ 1/2 x) (sqrt -1)) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 83 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (- (/ 1 x) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2))))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (- (- (/ 1 x) (sqrt -1)) (/ (/ (/ 1/2 x) (sqrt -1)) x)))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * * * [misc]progress: [ 84 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (- (* 2 (/ 1 x)) (+ (* 1/8 (pow x 3)) (* 1/2 x))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (63 enodes) * * [misc]simplify: iters left: 3 (109 enodes) * * [misc]simplify: iters left: 2 (167 enodes) * * [misc]simplify: iters left: 1 (198 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x)))) (log (sqrt (- (- (/ 2 x) (* 1/2 x)) (* (* x 1/8) (* x x)))))) * * * * [misc]progress: [ 85 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (+ (sqrt -1) (+ (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))) (/ 1 x))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (64 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (143 enodes) * * [misc]simplify: iters left: 1 (255 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (+ (/ (/ 1/2 x) (* (sqrt -1) x)) (+ (/ 1 x) (sqrt -1)))))) * * * * [misc]progress: [ 86 / 86 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (sqrt (- (/ 1 x) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))))) (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (119 enodes) * * [misc]simplify: iters left: 2 (237 enodes) * [exit]simplify: Simplified to (+ (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) (log (sqrt (- (- (/ 1 x) (sqrt -1)) (/ (/ 1/2 (* x x)) (sqrt -1)))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [enter]simplify: Simplifying (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * [exit]simplify: Simplified to (log (sqrt (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)))) * * * * [misc]points: Sampling 8000 additional inputs, on iter 0 have 0 / 8000 * * * * [misc]points: Computing exacts on every 500 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 250 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 125 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 62 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 31 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 15 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 7 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 8000 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5950 additional inputs, on iter 1 have 2050 / 8000 * * * * [misc]points: Computing exacts on every 371 of 5950 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 185 of 5950 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 92 of 5950 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 46 of 5950 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 23 of 5950 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 11 of 5950 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 5 of 5950 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 5950 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 5950 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 4486 additional inputs, on iter 2 have 3514 / 8000 * * * * [misc]points: Computing exacts on every 280 of 4486 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 140 of 4486 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 70 of 4486 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 35 of 4486 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 17 of 4486 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 8 of 4486 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 4486 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 4486 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 4486 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 3420 additional inputs, on iter 3 have 4580 / 8000 * * * * [misc]points: Computing exacts on every 213 of 3420 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 106 of 3420 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 53 of 3420 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 26 of 3420 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 13 of 3420 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 3420 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 3420 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3420 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 2585 additional inputs, on iter 4 have 5415 / 8000 * * * * [misc]points: Computing exacts on every 161 of 2585 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 80 of 2585 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 40 of 2585 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 20 of 2585 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 10 of 2585 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 5 of 2585 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 2585 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2585 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 1932 additional inputs, on iter 5 have 6068 / 8000 * * * * [misc]points: Computing exacts on every 120 of 1932 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 60 of 1932 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 30 of 1932 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 15 of 1932 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 7 of 1932 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 1932 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1932 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 1471 additional inputs, on iter 6 have 6529 / 8000 * * * * [misc]points: Computing exacts on every 91 of 1471 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 45 of 1471 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 22 of 1471 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 11 of 1471 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 5 of 1471 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 1471 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1471 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 1100 additional inputs, on iter 7 have 6900 / 8000 * * * * [misc]points: Computing exacts on every 68 of 1100 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 34 of 1100 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 17 of 1100 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 8 of 1100 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 1100 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 1100 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1100 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 817 additional inputs, on iter 8 have 7183 / 8000 * * * * [misc]points: Computing exacts on every 51 of 817 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 25 of 817 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 12 of 817 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 817 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 817 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 817 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 613 additional inputs, on iter 9 have 7387 / 8000 * * * * [misc]points: Computing exacts on every 38 of 613 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 19 of 613 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 9 of 613 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 613 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 613 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 613 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 450 additional inputs, on iter 10 have 7550 / 8000 * * * * [misc]points: Computing exacts on every 28 of 450 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 14 of 450 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 7 of 450 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 450 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 450 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 337 additional inputs, on iter 11 have 7663 / 8000 * * * * [misc]points: Computing exacts on every 21 of 337 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 10 of 337 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 5 of 337 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 337 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 337 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 241 additional inputs, on iter 12 have 7759 / 8000 * * * * [misc]points: Computing exacts on every 15 of 241 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 7 of 241 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 241 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 241 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 185 additional inputs, on iter 13 have 7815 / 8000 * * * * [misc]points: Computing exacts on every 11 of 185 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 5 of 185 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 185 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 185 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 139 additional inputs, on iter 14 have 7861 / 8000 * * * * [misc]points: Computing exacts on every 8 of 139 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 139 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 139 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 139 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 97 additional inputs, on iter 15 have 7903 / 8000 * * * * [misc]points: Computing exacts on every 6 of 97 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 97 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 97 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 72 additional inputs, on iter 16 have 7928 / 8000 * * * * [misc]points: Computing exacts on every 4 of 72 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 72 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 72 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 62 additional inputs, on iter 17 have 7938 / 8000 * * * * [misc]points: Computing exacts on every 3 of 62 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 62 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 41 additional inputs, on iter 18 have 7959 / 8000 * * * * [misc]points: Computing exacts on every 2 of 41 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 41 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 19 have 7965 / 8000 * * * * [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 26 additional inputs, on iter 20 have 7974 / 8000 * * * * [misc]points: Computing exacts for 26 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 21 have 7984 / 8000 * * * * [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 22 have 7990 / 8000 * * * * [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 7 additional inputs, on iter 23 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 24 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 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 7 additional inputs, on iter 25 have 7993 / 8000 * * * * [misc]points: Computing exacts for 7 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 26 have 7994 / 8000 * * * * [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 6 additional inputs, on iter 27 have 7994 / 8000 * * * * [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 5 additional inputs, on iter 28 have 7995 / 8000 * * * * [misc]points: Computing exacts for 5 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 29 have 7998 / 8000 * * * * [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 * * * * [misc]points: Sampling 4 additional inputs, on iter 30 have 7999 / 8000 * * * * [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 8000 points with exact outputs