* [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 201 additional inputs, on iter 1 have 55 / 256 * * * * [misc]points: Computing exacts on every 12 of 201 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 6 of 201 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 201 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 201 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 145 additional inputs, on iter 2 have 111 / 256 * * * * [misc]points: Computing exacts on every 9 of 145 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 145 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 145 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 145 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 112 additional inputs, on iter 3 have 144 / 256 * * * * [misc]points: Computing exacts on every 7 of 112 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 112 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 112 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 84 additional inputs, on iter 4 have 172 / 256 * * * * [misc]points: Computing exacts on every 5 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 2 of 84 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 84 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 5 have 194 / 256 * * * * [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 47 additional inputs, on iter 6 have 209 / 256 * * * * [misc]points: Computing exacts on every 2 of 47 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 47 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 40 additional inputs, on iter 7 have 216 / 256 * * * * [misc]points: Computing exacts on every 2 of 40 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 40 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 8 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 35 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 28 additional inputs, on iter 9 have 228 / 256 * * * * [misc]points: Computing exacts for 28 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 25 additional inputs, on iter 10 have 231 / 256 * * * * [misc]points: Computing exacts for 25 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 18 additional inputs, on iter 11 have 238 / 256 * * * * [misc]points: Computing exacts for 18 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 15 additional inputs, on iter 12 have 241 / 256 * * * * [misc]points: Computing exacts for 15 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 12 additional inputs, on iter 13 have 244 / 256 * * * * [misc]points: Computing exacts for 12 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 14 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 15 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 16 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 17 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 18 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 19 have 255 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 1 2 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 1 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 1 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 4)) (+ (* -1/2 (pow x 2)) 1)) into (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 x) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 x)) (* (sqrt -1) (/ 1 (/ 1 x))))) into (- (+ (* 1/2 (/ 1 (* (sqrt -1) x))) (* (sqrt -1) x)) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 3))))) * [misc]approximate: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ 1/2 (sqrt -1)) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ -1/8 (pow (sqrt -1) 3)) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ -1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 3)) (+ (* (/ 1/2 (sqrt -1)) (/ 1 (- x))) (* (sqrt -1) (/ 1 (/ 1 (- x)))))) into (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) x))) (* (sqrt -1) x))) * * * * [misc]progress: [ 2 / 3 ] 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: [ 3 / 3 ] generating series at (2 1 2) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* x x))) x) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* x x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* x x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt 1))) into 0 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (- (/ -1/2 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into -1/2 * [misc]backup-simplify: Simplify -1/2 into -1/2 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 1) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 -1/2)))) (* 2 1)) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/8 1) (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* -1/2 (/ 0 1)) (* 0 (/ 0 1)))) into -1/8 * [misc]backup-simplify: Simplify -1/8 into -1/8 * [misc]backup-simplify: Simplify (+ (* -1/8 (pow x 3)) (+ (* -1/2 x) (* 1 (/ 1 x)))) into (- (/ 1 x) (+ (* 1/8 (pow x 3)) (* 1/2 x))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt -1) 1) into (sqrt -1) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (/ (sqrt -1) 1) into (sqrt -1) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)))) into (* 1/2 (/ 1 (sqrt -1))) * [misc]backup-simplify: Simplify (* 1/2 (/ 1 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) 1) (+ (* (sqrt -1) (/ 0 1)) (* 0 (/ 0 1)) (* (* 1/2 (/ 1 (sqrt -1))) (/ 0 1)) (* 0 (/ 0 1)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) into (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/8 (/ 1 (pow (sqrt -1) 3)))) (pow (/ 1 x) 4)) (+ (* (/ 1/2 (sqrt -1)) (pow (/ 1 x) 2)) (sqrt -1))) into (- (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 4))))) * [misc]approximate: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (/ (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (- 1 (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (* -1 -1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ 0 (* 2 (sqrt -1))) into 0 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (/ (sqrt -1) -1) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (* -1 (sqrt -1)) into (* -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ 1/2 (sqrt -1)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- (* 1/2 (/ 1 (sqrt -1)))) into (- (* 1/2 (/ 1 (sqrt -1)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* 0 (/ 1/2 (sqrt -1)))))) (* 2 (sqrt -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- (/ (/ -1/8 (pow (sqrt -1) 3)) -1) (+ (* (* -1 (sqrt -1)) (/ 0 -1)) (* 0 (/ 0 -1)) (* (- (* 1/2 (/ 1 (sqrt -1)))) (/ 0 -1)) (* 0 (/ 0 -1)))) into (* 1/8 (/ 1 (pow (sqrt -1) 3))) * [misc]backup-simplify: Simplify (* 1/8 (/ 1 (pow (sqrt -1) 3))) into (/ 1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (+ (* (/ 1/8 (pow (sqrt -1) 3)) (pow (/ 1 (- x)) 4)) (+ (* (- (* 1/2 (/ 1 (sqrt -1)))) (pow (/ 1 (- x)) 2)) (* -1 (sqrt -1)))) into (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 4)))) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (expm1 (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (expm1 (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 2 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log1p (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (log1p (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 3 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (log (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (log (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 6 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (exp (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 7 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 8 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (154 enodes) * [exit]simplify: Simplified to (* (- 1 (* x x)) (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (* (- 1 (* x x)) (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 9 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [exit]simplify: Simplified to (fabs (cbrt (- 1 (* x x)))) * [enter]simplify: Simplifying (sqrt (cbrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (cbrt (- 1 (* x x)))) * * * * [misc]progress: [ 10 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 11 / 68 ] 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 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * * * * [misc]progress: [ 12 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (pow 1 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (81 enodes) * * [misc]simplify: iters left: 1 (86 enodes) * [exit]simplify: Simplified to (sqrt (fma (* (* x x) (* x x)) (- (* x x)) 1)) * [exit]simplify: Simplified to (sqrt (fma (* (* x x) (* x x)) (- (* x x)) 1)) * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (66 enodes) * * [misc]simplify: iters left: 3 (123 enodes) * * [misc]simplify: iters left: 2 (174 enodes) * * [misc]simplify: iters left: 1 (206 enodes) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (fma x x 1))) * [exit]simplify: Simplified to (sqrt (fma (* x x) (* x x) (fma x x 1))) * * * * [misc]progress: [ 13 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 1 1) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (44 enodes) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [exit]simplify: Simplified to (sqrt (fma (pow x 3) (- x) 1)) * [enter]simplify: Simplifying (sqrt (+ 1 (* x x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (hypot 1 x) * [exit]simplify: Simplified to (hypot 1 x) * * * * [misc]progress: [ 14 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [enter]simplify: Simplifying (sqrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 15 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (expm1 (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 18 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (log1p (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x))) * * * * [misc]progress: [ 19 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (exp (/ 1 x)) (exp (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * [exit]simplify: Simplified to (exp (+ (/ (sqrt (- 1 (* x x))) x) (/ 1 x))) * * * * [misc]progress: [ 24 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 68 ] 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) * * [misc]simplify: iters left: 3 (20 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: [ 26 / 68 ] 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) * * [misc]simplify: iters left: 3 (24 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: [ 27 / 68 ] 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) * * [misc]simplify: iters left: 3 (21 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) * * [misc]simplify: iters left: 3 (20 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: [ 28 / 68 ] 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 (106 enodes) * * [misc]simplify: iters left: 3 (354 enodes) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * [exit]simplify: Simplified to (pow (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) 3) * * * * [misc]progress: [ 29 / 68 ] 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) * * [misc]simplify: iters left: 3 (20 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) * * [misc]simplify: iters left: 3 (20 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 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 x) (* x (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (fma (sqrt (- 1 (* x x))) x x) * [exit]simplify: Simplified to (fma (sqrt (- 1 (* x x))) 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: [ 31 / 68 ] 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 (58 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (150 enodes) * * [misc]simplify: iters left: 1 (261 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 (38 enodes) * * [misc]simplify: iters left: 4 (93 enodes) * * [misc]simplify: iters left: 3 (221 enodes) * * [misc]simplify: iters left: 2 (427 enodes) * [exit]simplify: Simplified to (fma (/ (- 1) (* x x)) (sqrt (- 1 (* x x))) (fma (/ 1 x) (/ 1 x) (fma (/ 1 x) (/ 1 x) (- 1)))) * [exit]simplify: Simplified to (fma (/ (- 1) (* x x)) (sqrt (- 1 (* x x))) (fma (/ 1 x) (/ 1 x) (fma (/ 1 x) (/ 1 x) (- 1)))) * * * * [misc]progress: [ 32 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 68 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (171 enodes) * * [misc]simplify: iters left: 1 (371 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) * * [misc]simplify: iters left: 3 (23 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 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 35 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (+ (/ 1 x) (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 36 / 68 ] 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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 37 / 68 ] 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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 38 / 68 ] 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) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * [exit]simplify: Simplified to (+ (sqrt (- 1 (* x x))) 1) * * * * [misc]progress: [ 39 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (expm1 (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (expm1 (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 41 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log1p (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (log1p (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 42 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (log (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 44 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (exp (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 45 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) * [exit]simplify: Simplified to (* (cbrt (/ (sqrt (- 1 (* x x))) x)) (cbrt (/ (sqrt (- 1 (* x x))) x))) * [enter]simplify: Simplifying (cbrt (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (cbrt (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 46 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (/ (sqrt (- 1 (* x x))) x) (/ (sqrt (- 1 (* x x))) x)) (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (119 enodes) * * [misc]simplify: iters left: 1 (316 enodes) * [exit]simplify: Simplified to (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) * [exit]simplify: Simplified to (* (sqrt (- 1 (* x x))) (- (/ (/ 1 x) (* x x)) (/ 1 x))) * * * * [misc]progress: [ 47 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) x)) * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 (* x x))) x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) x)) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 (* x x))) x)) * * * * [misc]progress: [ 48 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (- (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (- (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (- (sqrt (- 1 (* x x)))) * [enter]simplify: Simplifying (- x) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (- x) * [exit]simplify: Simplified to (- x) * * * * [misc]progress: [ 49 / 68 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (/ 1 x) * [exit]simplify: Simplified to (/ 1 x) * * * * [misc]progress: [ 51 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 52 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (/ x (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 53 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (sqrt (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (/ x (sqrt (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 54 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (/ x (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 55 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 56 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ x (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (/ x (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 57 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (/ x (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (/ x (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 58 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (163 enodes) * * [misc]simplify: iters left: 1 (177 enodes) * [exit]simplify: Simplified to (* x (sqrt (fma (* x x) (* x x) (fma x x 1)))) * [exit]simplify: Simplified to (* x (sqrt (fma (* x x) (* x x) (fma x x 1)))) * * * * [misc]progress: [ 59 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (* x (sqrt (+ 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* x (hypot 1 x)) * [exit]simplify: Simplified to (* x (hypot 1 x)) * * * * [misc]progress: [ 60 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (- 1 (+ (* 1/2 (pow x 2)) (* 1/8 (pow x 4)))) x))) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (51 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (187 enodes) * * [misc]simplify: iters left: 1 (319 enodes) * [exit]simplify: Simplified to (log (- (+ (/ 1 x) (/ 1 x)) (fma (/ 1/8 x) (pow x 4) (* 1/2 x)))) * * * * [misc]progress: [ 61 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (- (+ (* 1/2 (/ 1 (* (sqrt -1) x))) (* (sqrt -1) x)) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 3))))) x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (51 enodes) * * [misc]simplify: iters left: 4 (126 enodes) * * [misc]simplify: iters left: 3 (329 enodes) * [exit]simplify: Simplified to (log (+ (/ (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) x) (- (/ 1 x) (/ (/ (/ 1/8 -1) (sqrt -1)) (* (* x x) (* x x)))))) * * * * [misc]progress: [ 62 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 3)))) (+ (* 1/2 (/ 1 (* (sqrt -1) x))) (* (sqrt -1) x))) x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (52 enodes) * * [misc]simplify: iters left: 4 (118 enodes) * * [misc]simplify: iters left: 3 (295 enodes) * [exit]simplify: Simplified to (log (- (+ (/ (/ (/ 1/8 -1) (sqrt -1)) (* (* x x) (* x x))) (/ 1 x)) (/ (fma x (sqrt -1) (/ (/ 1/2 x) (sqrt -1))) x))) * * * * [misc]progress: [ 63 / 68 ] 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 (31 enodes) * * [misc]simplify: iters left: 4 (55 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * * [misc]simplify: iters left: 1 (327 enodes) * [exit]simplify: Simplified to (log (fma (fma (* x 1/8) x 1/2) (- x) (/ 2 x))) * * * * [misc]progress: [ 64 / 68 ] 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 (28 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (86 enodes) * * [misc]simplify: iters left: 2 (147 enodes) * * [misc]simplify: iters left: 1 (276 enodes) * [exit]simplify: Simplified to (log (fma (/ 1/2 (sqrt -1)) (* (/ 1 x) (/ 1 x)) (+ (/ 1 x) (sqrt -1)))) * * * * [misc]progress: [ 65 / 68 ] 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 (53 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (236 enodes) * [exit]simplify: Simplified to (log (fma (- (/ 1/2 x)) (/ (/ 1 x) (sqrt -1)) (- (/ 1 x) (sqrt -1)))) * * * * [misc]progress: [ 66 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (- (/ 1 x) (+ (* 1/8 (pow x 3)) (* 1/2 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (60 enodes) * * [misc]simplify: iters left: 3 (126 enodes) * * [misc]simplify: iters left: 2 (277 enodes) * * [misc]simplify: iters left: 1 (457 enodes) * [exit]simplify: Simplified to (log (fma (fma (* 1/8 x) x 1/2) (- x) (+ (/ 1 x) (/ 1 x)))) * * * * [misc]progress: [ 67 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (- (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2))))) (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 4))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (49 enodes) * * [misc]simplify: iters left: 4 (121 enodes) * * [misc]simplify: iters left: 3 (277 enodes) * [exit]simplify: Simplified to (log (- (fma (/ (/ 1 x) (sqrt -1)) (/ 1/2 x) (+ (sqrt -1) (/ 1 x))) (/ (/ (/ 1/8 -1) (sqrt -1)) (pow x 4)))) * * * * [misc]progress: [ 68 / 68 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (- (* 1/8 (/ 1 (* (pow (sqrt -1) 3) (pow x 4)))) (+ (sqrt -1) (* 1/2 (/ 1 (* (sqrt -1) (pow x 2)))))))) * * [misc]simplify: iters left: 6 (23 enodes) * * [misc]simplify: iters left: 5 (50 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (254 enodes) * [exit]simplify: Simplified to (log (- (/ (/ (/ 1/8 -1) (sqrt -1)) (pow x 4)) (fma (/ 1 x) (/ (/ 1/2 x) (sqrt -1)) (- (sqrt -1) (/ 1 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 1 2 1 2) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 1 2 1 1 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 1 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 1 2 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow -1/12 1) 1)))) into -5/72 * [misc]backup-simplify: Simplify -5/72 into -5/72 * [misc]backup-simplify: Simplify (+ (* -5/72 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 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 (- (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 4))) (pow (/ 1 x) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 2))) (pow (/ 1 x) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))))) into (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 4))) (pow (/ 1 (- x)) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 2))) (pow (/ 1 (- x)) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 1 2 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow -1/12 1) 1)))) into -5/72 * [misc]backup-simplify: Simplify -5/72 into -5/72 * [misc]backup-simplify: Simplify (+ (* -5/72 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 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 (- (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 4))) (pow (/ 1 x) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 2))) (pow (/ 1 x) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))))) into (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 4))) (pow (/ 1 (- x)) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 2))) (pow (/ 1 (- x)) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 1 2 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify -1/6 into -1/6 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow -1/12 1) 1)))) into -5/72 * [misc]backup-simplify: Simplify -5/72 into -5/72 * [misc]backup-simplify: Simplify (+ (* -5/72 (pow x 4)) (+ (* -1/6 (pow x 2)) 1)) into (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 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 (- (+ (* 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 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 4))) (pow (/ 1 x) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (pow (sqrt -1) 2))) (pow (/ 1 x) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))))) into (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * [misc]approximate: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 4))) (pow (/ 1 (- x)) 4)) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) (pow (sqrt -1) 2))) (pow (/ 1 (- x)) 2)) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))))) into (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* x x)))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* x x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* x x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* x x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* 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]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 0)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (- -1 (pow 0 2) (+)) (* 2 1)) into -1/2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 -1/2) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 0) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/6 * [misc]backup-simplify: Simplify (+ (* 1 -1/6) (+ (* 0 0) (* -1/6 1))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow 1 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 -1/2) 1)) (pow 1 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow 1 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0)))) into 0 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 -1/6) (+ (* -1/6 0) (* 0 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 1) (* 0 0))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow -1/2 2) (+ (* 2 (* 0 0)))) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow -1/12 1) 1)))) into -5/72 * [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 (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow 1 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 -1/2) 1)) (pow 1 3))) (* -3 (/ (* 1 (pow (* 2 -1/2) 2)) (pow 1 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow 1 2))) (* 1 (/ (* 1 1 1 (pow (* 24 -1/8) 1)) (pow 1 1)))) 24) into -1/4 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/4) (+ (* 0 0) (+ (* 0 -1/2) (+ (* 0 0) (* 0 0))))) into -1/12 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow -1/6 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow -1/6 2) 2)) (* (/ (pow -1/12 1) 1)))) into -5/72 * [misc]backup-simplify: Simplify (+ (* 1 -5/72) (+ (* 0 0) (+ (* -1/6 -1/6) (+ (* 0 0) (* -5/72 1))))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 4)) (+ (* -1/3 (pow x 2)) 1)) into (- 1 (+ (* 1/3 (pow x 2)) (* 1/9 (pow x 4)))) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 x) (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 x) (/ 1 x)))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 x) (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))) into (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) into (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* 0 0) (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))))) into (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) into (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) * [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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 0) (+ (* 0 (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -1)) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4)))) (+ (* 0 0) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* 0 0) (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))))))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (pow (sqrt -1) 4)))) (pow (/ 1 x) 4)) (+ (* (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (pow (sqrt -1) 2))) (pow (/ 1 x) 2)) (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2))) into (- (+ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* (pow (sqrt -1) 2) (pow x 2))))) (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* (pow (sqrt -1) 4) (pow x 4))))) * [misc]approximate: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (* (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (pow (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (sqrt (- 1 (* (/ 1 (- x)) (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (sqrt (- 1 (* (/ 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]backup-simplify: Simplify (log (sqrt -1)) into (log (sqrt -1)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log (sqrt -1)) (log x))) into (* 1/3 (- (log (sqrt -1)) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log (sqrt -1)) (log x)))) into (exp (* 1/3 (- (log (sqrt -1)) (log x)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))) into (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) * [misc]backup-simplify: Simplify (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) into (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (sqrt -1) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (- (log (sqrt -1)) (log x)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow 0 2) (+)) (* 2 (sqrt -1))) into (/ 1/2 (sqrt -1)) * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 1)))) 2) into (/ 1/2 (pow (sqrt -1) 2)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))) into (* 1/6 (/ 1 (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)))) into (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* 0 0) (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))))) into (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) into (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 2))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 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 (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (sqrt -1) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (sqrt -1) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 0) (+ (* 0 (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) 0) (* 0 (exp (* 1/3 (- (log (sqrt -1)) (log x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 -1))))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow (/ 1/2 (sqrt -1)) 2) (+ (* 2 (* 0 0)))) (* 2 (sqrt -1))) into (/ -1/8 (pow (sqrt -1) 3)) * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (sqrt -1) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 (/ 1/2 (sqrt -1))) 1)) (pow (sqrt -1) 3))) (* -3 (/ (* 1 (pow (* 2 (/ 1/2 (sqrt -1))) 2)) (pow (sqrt -1) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (sqrt -1) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 (/ -1/8 (pow (sqrt -1) 3))) 1)) (pow (sqrt -1) 1)))) 24) into (/ -1/4 (pow (sqrt -1) 4)) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log (sqrt -1))) into (- (log (sqrt -1)) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 (/ -1/4 (pow (sqrt -1) 4))) (+ (* 0 0) (+ (* 0 (/ 1/2 (pow (sqrt -1) 2))) (+ (* 0 0) (* 0 (- (log (sqrt -1)) (log x))))))) into (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow (* 1/6 (/ 1 (pow (sqrt -1) 2))) 2) 2)) (* (/ (pow (- (* 1/12 (/ 1 (pow (sqrt -1) 4)))) 1) 1)))) into (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4)))) (+ (* 0 0) (+ (* (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 2)))) (+ (* 0 0) (* (* -5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log x)))) (pow (sqrt -1) 4))) (exp (* 1/3 (- (log (sqrt -1)) (log x))))))))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) into (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log x)))) 2) (pow (sqrt -1) 4)))) * [misc]backup-simplify: Simplify (+ (* (- (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) 2) (pow (sqrt -1) 4)))) (pow (/ 1 (- x)) 4)) (+ (* (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) 2) (pow (sqrt -1) 2))) (pow (/ 1 (- x)) 2)) (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 (- x)))))) 2))) into (- (+ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* (pow (sqrt -1) 2) (pow x 2))))) (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* (pow (sqrt -1) 4) (pow x 4))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 2 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 3 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 6 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 7 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 8 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 9 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 10 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 11 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 12 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 13 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * * * * [misc]progress: [ 14 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * * * * [misc]progress: [ 15 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 16 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * * * * [misc]progress: [ 17 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 18 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 19 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 20 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 21 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 24 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 25 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 26 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 27 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 28 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 29 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 30 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 31 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * * * * [misc]progress: [ 32 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * * * * [misc]progress: [ 33 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 34 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * * * * [misc]progress: [ 35 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 36 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (expm1 (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 38 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log1p (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 39 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (log (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 42 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (exp (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 43 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 44 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (fabs (cbrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (cbrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (cbrt (- 1 (* x x))))) * * * * [misc]progress: [ 45 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 46 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt 1)) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (5 enodes) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [exit]simplify: Simplified to (cbrt (sqrt 1)) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 47 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (sqrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 48 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [exit]simplify: Simplified to (cbrt 1) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 49 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (82 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (67 enodes) * * [misc]simplify: iters left: 3 (129 enodes) * * [misc]simplify: iters left: 2 (192 enodes) * * [misc]simplify: iters left: 1 (245 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) * * * * [misc]progress: [ 50 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (48 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [exit]simplify: Simplified to (cbrt (sqrt (fma (- x) (pow x 3) 1))) * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * [exit]simplify: Simplified to (cbrt (hypot 1 x)) * * * * [misc]progress: [ 51 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [enter]simplify: Simplifying (cbrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (cbrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 52 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * [exit]simplify: Simplified to (sqrt (- 1 (* x x))) * * * * [misc]progress: [ 53 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (sqrt (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (sqrt (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 54 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (expm1 (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (expm1 (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (expm1 (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 56 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log1p (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (log1p (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (log1p (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 57 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1/3 1/3) * * [misc]simplify: iters left: 2 (2 enodes) * [exit]simplify: Simplified to (+ 1/3 1/3) * [exit]simplify: Simplified to (+ 1/3 1/3) * * * * [misc]progress: [ 58 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 59 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [exit]simplify: Simplified to (- 1 (* x x)) * * * * [misc]progress: [ 60 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 61 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to (+ 1 1) * [exit]simplify: Simplified to (+ 1 1) * * * * [misc]progress: [ 63 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (cbrt (sqrt (- 1 (* x x))))) (log (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (+ (log (cbrt (sqrt (- 1 (* x x))))) (log (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (+ (log (cbrt (sqrt (- 1 (* x x))))) (log (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 65 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (log (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 66 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (exp (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (exp (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 67 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (- 1 (* x x))) (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [exit]simplify: Simplified to (- 1 (* x x)) * * * * [misc]progress: [ 68 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * [exit]simplify: Simplified to (* (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * [enter]simplify: Simplifying (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 69 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * * [misc]simplify: iters left: 2 (40 enodes) * * [misc]simplify: iters left: 1 (46 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [exit]simplify: Simplified to (- 1 (* x x)) * * * * [misc]progress: [ 70 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (sqrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (fabs (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 71 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (85 enodes) * * [misc]simplify: iters left: 1 (90 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1))) (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1))) (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1)))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (170 enodes) * * [misc]simplify: iters left: 1 (205 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1)))) (cbrt (sqrt (fma (* x x) (* x x) (fma x x 1))))) * * * * [misc]progress: [ 72 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (54 enodes) * * [misc]simplify: iters left: 3 (96 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- x) (pow x 3) 1))) (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- x) (pow x 3) 1))) (cbrt (sqrt (fma (* (* x x) (* x x)) (* x (- x)) 1)))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x)))))) (cbrt (sqrt (+ 1 (* x x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (182 enodes) * * [misc]simplify: iters left: 1 (222 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (fma x x 1) (* x x) 1))) (cbrt (hypot 1 x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (fma x x 1) (* x x) 1))) (cbrt (hypot 1 x))) * * * * [misc]progress: [ 73 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (95 enodes) * * [misc]simplify: iters left: 2 (104 enodes) * * [misc]simplify: iters left: 1 (110 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1))) (cbrt (sqrt (fma (- x) (pow x 3) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (- x) x) (* (* x x) (* x x)) 1))) (cbrt (sqrt (fma (- x) (pow x 3) 1)))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (* x x)))) (cbrt (sqrt (+ (* 1 1) (+ (* (* x x) (* x x)) (* 1 (* x x))))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (124 enodes) * * [misc]simplify: iters left: 2 (180 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* x x) (fma x x 1) 1))) (cbrt (hypot 1 x))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* x x) (fma x x 1) 1))) (cbrt (hypot 1 x))) * * * * [misc]progress: [ 74 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- x) (pow x 3) 1))) (cbrt (sqrt (fma (- x) (pow x 3) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- x) (pow x 3) 1))) (cbrt (sqrt (fma (- x) (pow x 3) 1)))) * [enter]simplify: Simplifying (* (cbrt (sqrt (+ 1 (* x x)))) (cbrt (sqrt (+ 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) * [exit]simplify: Simplified to (* (cbrt (hypot 1 x)) (cbrt (hypot 1 x))) * * * * [misc]progress: [ 75 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))))) * * * * [misc]progress: [ 77 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (cbrt (fabs (cbrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (fabs (cbrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 78 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 79 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt 1))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt 1))) * * * * [misc]progress: [ 80 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 81 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt 1) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 82 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x))))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (cbrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 83 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (sqrt (cbrt (sqrt (- 1 (* x x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 84 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * * * * [misc]progress: [ 85 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 86 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (cbrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (cbrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (cbrt (- 1 (* x x)))))) * * * * [misc]progress: [ 87 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 88 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 89 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (sqrt (- 1 (* x x)))))) * * * * [misc]progress: [ 90 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 91 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 92 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (sqrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (sqrt (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 93 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 94 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (* x x) (* x x)) (- (* x x)) 1))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (* (* x x) (* x x)) (- (* x x)) 1))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 95 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (pow x 3) (- x) 1))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (pow x 3) (- x) 1))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 96 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (pow 1 3) (pow (* x x) 3)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (93 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (fma (- (* x x)) (* (* x x) (* x x)) 1))) (cbrt (sqrt (- 1 (* x x))))) * * * * [misc]progress: [ 97 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (sqrt (- (* 1 1) (* (* x x) (* x x))))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (fma (pow x 3) (- x) 1)))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (fma (pow x 3) (- x) 1)))) * * * * [misc]progress: [ 98 / 110 ] simplifiying candidate # * * * * [misc]progress: [ 99 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4))))) x))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (40 enodes) * * [misc]simplify: iters left: 4 (75 enodes) * * [misc]simplify: iters left: 3 (229 enodes) * [exit]simplify: Simplified to (log (+ (/ (fma (- (* (- 1/6) (* x x)) (* 5/72 (pow x 4))) (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ x (cbrt (sqrt (- 1 (* x x)))))) (/ 1 x))) * * * * [misc]progress: [ 100 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4)))))) x))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * [exit]simplify: Simplified to (log (fma (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) x) (fma (/ (exp (fma (log (sqrt -1)) 1/3 (* (log x) 1/3))) (- (* x x))) 1/6 (- (exp (fma (log (sqrt -1)) 1/3 (* (log x) 1/3))) (* (/ 5/72 (* (pow (sqrt -1) 4) (pow x 4))) (exp (fma (log (sqrt -1)) 1/3 (* (log x) 1/3)))))) (/ 1 x))) * * * * [misc]progress: [ 101 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4)))))) x))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (73 enodes) * * [misc]simplify: iters left: 4 (177 enodes) * * [misc]simplify: iters left: 3 (486 enodes) * [exit]simplify: Simplified to (log (fma (/ (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) x) (+ (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))) (* (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))) (- (/ (/ 1/6 x) (- x)) (/ (/ 5/72 (pow x 4)) (pow (sqrt -1) 4))))) (/ 1 x))) * * * * [misc]progress: [ 102 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (68 enodes) * * [misc]simplify: iters left: 3 (179 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (fma (* (cbrt (sqrt (- 1 (* x x)))) (/ (- (fma (* x x) (- 1/6) 1) (* 5/72 (pow x 4))) x)) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 103 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4)))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (166 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (log (fma (/ (fma (/ (- 5/72) (pow x 4)) (/ (* (pow (sqrt -1) 1/3) (pow x 1/3)) (pow (sqrt -1) 4)) (* (+ (/ (/ 1/6 x) (- x)) 1) (* (pow (sqrt -1) 1/3) (pow x 1/3)))) (/ x (cbrt (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 104 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (cbrt (sqrt (- 1 (* x x)))) (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4)))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (72 enodes) * * [misc]simplify: iters left: 4 (164 enodes) * * [misc]simplify: iters left: 3 (424 enodes) * [exit]simplify: Simplified to (log (fma (* (/ (cbrt (sqrt (- 1 (* x x)))) x) (+ (* (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))) (- (/ (/ 1/6 x) (- x)) (/ (/ 5/72 (pow x 4)) (pow (sqrt -1) 4)))) (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))))) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 105 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (- 1 (+ (* 1/6 (pow x 2)) (* 5/72 (pow x 4)))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (22 enodes) * * [misc]simplify: iters left: 5 (41 enodes) * * [misc]simplify: iters left: 4 (69 enodes) * * [misc]simplify: iters left: 3 (174 enodes) * * [misc]simplify: iters left: 2 (472 enodes) * [exit]simplify: Simplified to (log (fma (/ (cbrt (sqrt (- 1 (* x x)))) x) (fma (- (* (pow x 4) (- 5/72)) (* 1/6 (* x x))) (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) (/ 1 x))) * * * * [misc]progress: [ 106 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (- (+ (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 2) (pow x 2)))) (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x)))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (75 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (451 enodes) * [exit]simplify: Simplified to (log (fma (/ (- (* (+ (/ (/ 1/6 x) (- x)) 1) (* (pow x 1/3) (pow (sqrt -1) 1/3))) (* (/ (/ 5/72 (pow x 4)) (pow (sqrt -1) 4)) (* (pow x 1/3) (pow (sqrt -1) 1/3)))) (/ x (cbrt (sqrt (- 1 (* x x)))))) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 107 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (* (- (+ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* 1/6 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 2) (pow x 2))))) (* 5/72 (/ (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) (* (pow (sqrt -1) 4) (pow x 4))))) (cbrt (sqrt (- 1 (* x x))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (37 enodes) * * [misc]simplify: iters left: 5 (74 enodes) * * [misc]simplify: iters left: 4 (165 enodes) * * [misc]simplify: iters left: 3 (427 enodes) * [exit]simplify: Simplified to (log (fma (* (/ (cbrt (sqrt (- 1 (* x x)))) x) (+ (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))) (* (pow (exp 1/3) (- (log (sqrt -1)) (log (/ -1 x)))) (- (/ (/ 1/6 x) (- x)) (/ (/ 5/72 (pow x 4)) (pow (sqrt -1) 4)))))) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 108 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (- 1 (+ (* 1/3 (pow x 2)) (* 1/9 (pow x 4)))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (21 enodes) * * [misc]simplify: iters left: 5 (37 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (175 enodes) * * [misc]simplify: iters left: 2 (473 enodes) * [exit]simplify: Simplified to (log (fma (- (/ (fma (- 1/9) (pow x 4) 1) x) (/ x (/ 1 1/3))) (cbrt (sqrt (- 1 (* x x)))) (/ 1 x))) * * * * [misc]progress: [ 109 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (- (+ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* (pow (sqrt -1) 2) (pow x 2))))) (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ 1 x))))) 2) (* (pow (sqrt -1) 4) (pow x 4))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (35 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (log (- (/ (fma (/ (exp (* (+ (log (sqrt -1)) (log x)) (+ 1/3 1/3))) (- (* x x))) 1/3 (exp (* (+ (log (sqrt -1)) (log x)) (+ 1/3 1/3)))) (/ x (cbrt (sqrt (- 1 (* x x)))))) (- (/ (* 1/9 (exp (* (+ (log (sqrt -1)) (log x)) (+ 1/3 1/3)))) (* (/ x (cbrt (sqrt (- 1 (* x x))))) (* (pow (sqrt -1) 4) (pow x 4)))) (/ 1 x)))) * * * * [misc]progress: [ 110 / 110 ] simplifiying candidate # * [enter]simplify: Simplifying (log (+ (/ 1 x) (/ (* (- (+ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* 1/3 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* (pow (sqrt -1) 2) (pow x 2))))) (* 1/9 (/ (pow (exp (* 1/3 (- (log (sqrt -1)) (log (/ -1 x))))) 2) (* (pow (sqrt -1) 4) (pow x 4))))) (cbrt (sqrt (- 1 (* x x))))) x))) * * [misc]simplify: iters left: 6 (36 enodes) * * [misc]simplify: iters left: 5 (71 enodes) * * [misc]simplify: iters left: 4 (189 enodes) * [exit]simplify: Simplified to (log (- (/ (fma 1/3 (/ (exp (* (- (log (sqrt -1)) (log (/ -1 x))) (+ 1/3 1/3))) (- (* x x))) (exp (* (- (log (sqrt -1)) (log (/ -1 x))) (+ 1/3 1/3)))) (/ x (cbrt (sqrt (- 1 (* x x)))))) (- (/ (/ (exp (* (- (log (sqrt -1)) (log (/ -1 x))) (+ 1/3 1/3))) (/ (pow (sqrt -1) 4) 1/9)) (* (/ x (cbrt (sqrt (- 1 (* x x))))) (pow x 4))) (/ 1 x)))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * [enter]simplify: Simplifying (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [exit]simplify: Simplified to (* (cbrt (sqrt (- 1 (* x x)))) (cbrt (sqrt (- 1 (* x x))))) * [enter]simplify: Simplifying (cbrt (sqrt (- 1 (* x x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* x x)))) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 (* 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 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts on every 250 of 8000 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 125 of 8000 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 62 of 8000 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 31 of 8000 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 8000 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 8000 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 8000 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 8000 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 6091 additional inputs, on iter 1 have 1909 / 8000 * * * * [misc]points: Computing exacts on every 380 of 6091 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 190 of 6091 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 95 of 6091 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 47 of 6091 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 23 of 6091 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 6091 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 6091 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 6091 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 6091 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 4624 additional inputs, on iter 2 have 3376 / 8000 * * * * [misc]points: Computing exacts on every 289 of 4624 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 144 of 4624 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 72 of 4624 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 36 of 4624 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 18 of 4624 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 4624 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 4624 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 4624 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 4624 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 3487 additional inputs, on iter 3 have 4513 / 8000 * * * * [misc]points: Computing exacts on every 217 of 3487 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 108 of 3487 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 54 of 3487 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 27 of 3487 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 3487 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 3487 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 3487 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 3487 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 2653 additional inputs, on iter 4 have 5347 / 8000 * * * * [misc]points: Computing exacts on every 165 of 2653 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 82 of 2653 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 41 of 2653 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 2653 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 2653 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 2653 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 2653 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 2653 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 1981 additional inputs, on iter 5 have 6019 / 8000 * * * * [misc]points: Computing exacts on every 123 of 1981 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 61 of 1981 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 1981 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 1981 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 1981 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 1981 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1981 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 1447 additional inputs, on iter 6 have 6553 / 8000 * * * * [misc]points: Computing exacts on every 90 of 1447 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 1447 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 1447 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 1447 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 1447 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 1447 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1447 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 1106 additional inputs, on iter 7 have 6894 / 8000 * * * * [misc]points: Computing exacts on every 69 of 1106 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 1106 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 1106 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 1106 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 1106 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 1106 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 1106 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 844 additional inputs, on iter 8 have 7156 / 8000 * * * * [misc]points: Computing exacts on every 52 of 844 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 844 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 844 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 844 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 844 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 844 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 607 additional inputs, on iter 9 have 7393 / 8000 * * * * [misc]points: Computing exacts on every 37 of 607 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 18 of 607 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 607 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 607 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 607 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 607 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 454 additional inputs, on iter 10 have 7546 / 8000 * * * * [misc]points: Computing exacts on every 28 of 454 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 454 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 454 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 454 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 454 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 359 additional inputs, on iter 11 have 7641 / 8000 * * * * [misc]points: Computing exacts on every 22 of 359 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 359 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 359 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 359 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 359 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 268 additional inputs, on iter 12 have 7732 / 8000 * * * * [misc]points: Computing exacts on every 16 of 268 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 268 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 268 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 268 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 268 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 201 additional inputs, on iter 13 have 7799 / 8000 * * * * [misc]points: Computing exacts on every 12 of 201 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 201 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 201 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 201 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 158 additional inputs, on iter 14 have 7842 / 8000 * * * * [misc]points: Computing exacts on every 9 of 158 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 158 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 158 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 158 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 120 additional inputs, on iter 15 have 7880 / 8000 * * * * [misc]points: Computing exacts on every 7 of 120 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 120 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 120 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 92 additional inputs, on iter 16 have 7908 / 8000 * * * * [misc]points: Computing exacts on every 5 of 92 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 92 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 92 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 60 additional inputs, on iter 17 have 7940 / 8000 * * * * [misc]points: Computing exacts on every 3 of 60 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 60 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 49 additional inputs, on iter 18 have 7951 / 8000 * * * * [misc]points: Computing exacts on every 3 of 49 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 49 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 38 additional inputs, on iter 19 have 7962 / 8000 * * * * [misc]points: Computing exacts on every 2 of 38 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Computing exacts for 38 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 30 additional inputs, on iter 20 have 7970 / 8000 * * * * [misc]points: Computing exacts for 30 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 24 additional inputs, on iter 21 have 7976 / 8000 * * * * [misc]points: Computing exacts for 24 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 20 additional inputs, on iter 22 have 7980 / 8000 * * * * [misc]points: Computing exacts for 20 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 14 additional inputs, on iter 23 have 7986 / 8000 * * * * [misc]points: Computing exacts for 14 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 24 have 7992 / 8000 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Setting MPFR precision to 576 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 5 additional inputs, on iter 25 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 26 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 * * * * [exit]points: Sampled 8001 points with exact outputs