* [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 140 additional inputs, on iter 1 have 116 / 256 * * * * [misc]points: Computing exacts on every 8 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 4 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 2 of 140 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 140 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 73 additional inputs, on iter 2 have 183 / 256 * * * * [misc]points: Computing exacts on every 4 of 73 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 73 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 73 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 35 additional inputs, on iter 3 have 221 / 256 * * * * [misc]points: Computing exacts on every 2 of 35 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 35 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 18 additional inputs, on iter 4 have 238 / 256 * * * * [misc]points: Computing exacts for 18 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 10 additional inputs, on iter 5 have 246 / 256 * * * * [misc]points: Computing exacts for 10 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 8 additional inputs, on iter 6 have 248 / 256 * * * * [misc]points: Computing exacts for 8 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 7 have 253 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 8 have 254 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 257 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (* (atan (sqrt (/ (- 1 x) (+ 1 x)))) 2) * * [misc]progress: iteration 1 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 3 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 3 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 3 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 3 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 3 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (/ 2 (* 2 (sqrt -1))) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ 1 (sqrt -1)) into (/ 1 (sqrt -1)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ 1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 x) 2)) (+ (* (/ 1 (sqrt -1)) (/ 1 x)) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]taylor: Taking taylor expansion of (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt -1))) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (sqrt -1) into (sqrt -1) * [misc]backup-simplify: Simplify (/ -1 (sqrt -1)) into (/ -1 (sqrt -1)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (/ (- -2 (pow (/ -1 (sqrt -1)) 2) (+)) (* 2 (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) into (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) * [misc]backup-simplify: Simplify (+ (* (* -1/2 (/ (+ (/ 1 (pow (sqrt -1) 2)) 2) (sqrt -1))) (pow (/ 1 (- x)) 2)) (+ (* (/ -1 (sqrt -1)) (/ 1 (- x))) (sqrt -1))) into (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * * * [misc]progress: [ 3 / 3 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 x) (+ 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ 1 x)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 x) (+ x 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (/ 1 x))) (+ (/ 1 (/ 1 x)) 1)))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (sqrt (/ (+ (/ 1 (/ 1 (- x))) 1) (- 1 (/ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (- 1 x)) (log1p x))))))) * * * * [misc]progress: [ 5 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))) * * * * [misc]progress: [ 8 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))) * * * * [misc]progress: [ 13 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 14 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 15 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 16 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 17 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 18 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))) * * * * [misc]progress: [ 19 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 20 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 21 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 22 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 24 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 25 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))) * * * * [misc]progress: [ 26 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 27 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) 1) (+ x 1)))))) * * * * [misc]progress: [ 28 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))) * * * * [misc]progress: [ 29 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 30 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))))))) * * * * [misc]progress: [ 32 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * * * [misc]progress: [ 33 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fma (* x x) (- x) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (* x x) (- x) 1) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 34 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 35 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 38 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (- 1 x) (+ 1 x))) (cbrt (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 44 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (- 1 x) (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (/ (- 1 x) (+ 1 x)))))))) * * * * [misc]progress: [ 45 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (sqrt (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 46 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1))))) (sqrt (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 47 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (fabs (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (- 1 x))) (sqrt (/ (cbrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 48 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (- 1 x)) 1)) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (- 1 x))) (sqrt (/ (sqrt (- 1 x)) (+ 1 x))))))) * * * * [misc]progress: [ 51 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1)))) (sqrt (/ (- 1 x) (cbrt (+ 1 x)))))))) * * * * [misc]progress: [ 52 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (+ x 1)))) (sqrt (/ (- 1 x) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 53 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 54 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (/ (- 1 x) (+ 1 x))))))) * * * * [misc]progress: [ 55 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (- 1 x)) (sqrt (/ 1 (+ 1 x))))))) * * * * [misc]progress: [ 56 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (fma (* x x) x 1))) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 57 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (sqrt (- 1 x)))))) * * * * [misc]progress: [ 58 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))) * * * * [misc]progress: [ 59 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 61 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (- 1 x)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 62 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 80 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma x (- (* 2 x) 2) 1))))) * * * * [misc]progress: [ 73 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 74 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))) * * * * [misc]progress: [ 75 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 76 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 77 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (sqrt -1) (/ 1 (* x (sqrt -1)))) (+ (/ 1 (* (pow x 2) (sqrt -1))) (* 1/2 (/ 1 (* (pow x 2) (pow (sqrt -1) 3)))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (44 enodes) * * [misc]simplify: iters left: 4 (94 enodes) * * [misc]simplify: iters left: 3 (219 enodes) * [exit]simplify: Simplified to (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (* (+ (/ 1/2 -1) 1) (/ 1 (* (* x x) (sqrt -1)))))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log 2) (log x))) 1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- (exp (+ (log 2) (log x)))) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log 2) (log x))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) 0) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log 2) (log (/ 1 x)))) (pow (/ 1 x) 2)) (+ (* (- (exp (+ (log 2) (log (/ 1 x))))) (/ 1 x)) (- (exp (+ (log 2) (log (/ 1 x)))) 1))) into (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ (/ (exp (+ (log 2) (log (/ 1 x)))) x) 1)) * [misc]approximate: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (- (exp (+ (log -2) (log x))) 1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log -2) (log x))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (+ (* (exp (+ (log -2) (log (/ 1 (- x))))) (pow (/ 1 (- x)) 2)) (+ (* (exp (+ (log -2) (log (/ 1 (- x))))) (/ 1 (- x))) (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))) into (- (+ (exp (+ (log -2) (log (/ -1 x)))) (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2))) (+ (/ (exp (+ (log -2) (log (/ -1 x)))) x) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 x) 2)) (+ (* 2 (/ 1 x)) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 x) (+ 1 x)))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 x) (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (exp (log 2)) into 2 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 2 -1) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 1) 1)))) into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ -2 0) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (log 2)) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into 2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 2 0) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x)))) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log 2) (log x))) into (exp (+ (log 2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) -1) into (- (exp (+ (log 2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify (* (exp (+ (log 2) (log x))) (+ (* (/ (pow -1 1) 1)))) into (* -1 (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (* -1 (exp (+ (log 2) (log x)))) 0) into (- (exp (+ (log 2) (log x)))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x)))) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log 2) (log x))) 1)) into (sqrt (- (exp (+ (log 2) (log x))) 1)) * [misc]backup-simplify: Simplify (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) into (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log 2) (log x))) (+ (* (/ (pow -1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log 2) (log x))) 0) into (exp (+ (log 2) (log x))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log 2) (log x))) (pow (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (exp (+ (log 2) (log x))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log 2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log x))) 1))) (- (exp (+ (log 2) (log x))) (* 1/4 (/ (pow (exp (+ (log 2) (log x))) 2) (- (exp (+ (log 2) (log x))) 1)))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (- (exp (+ (log 2) (log (/ 1 x)))) (* 1/4 (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (- (exp (+ (log 2) (log (/ 1 x)))) 1)))))) (pow (/ 1 x) 2)) (+ (* (* -1/2 (* (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (exp (+ (log 2) (log (/ 1 x)))))) (/ 1 x)) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1)))) into (- (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) x) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (* 1/8 (* (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))))))) * [misc]approximate: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (exp (+ (log -2) (log x))) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [misc]taylor: Taking taylor expansion of (sqrt (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (expm1 (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Rewrote expression to (- (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) 1) * [misc]taylor: Taking taylor expansion of (exp (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (exp (+ (log -2) (log x))) into (exp (+ (log -2) (log x))) * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) -1) into (- (exp (+ (log -2) (log x))) 1) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify (* (exp (+ (log -2) (log x))) (+ (* (/ (pow 1 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (exp (+ (log -2) (log x))) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [misc]backup-simplify: Simplify (sqrt (- (exp (+ (log -2) (log x))) 1)) into (sqrt (- (exp (+ (log -2) (log x))) 1)) * [misc]backup-simplify: Simplify (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) into (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify (* (exp (+ (log -2) (log x))) (+ (* (/ (pow 1 2) 2)) (* (/ (pow 1/2 1) 1)))) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ (exp (+ (log -2) (log x))) 0) into (exp (+ (log -2) (log x))) * [misc]backup-simplify: Simplify (/ (- (exp (+ (log -2) (log x))) (pow (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))) (exp (+ (log -2) (log x))))) 2) (+)) (* 2 (sqrt (- (exp (+ (log -2) (log x))) 1)))) into (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) * [misc]backup-simplify: Simplify (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) into (* 1/2 (* (- (exp (+ (log -2) (log x))) (* 1/4 (/ (pow (exp (+ (log -2) (log x))) 2) (- (exp (+ (log -2) (log x))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log x))) 1))))) * [misc]backup-simplify: Simplify (+ (* (* 1/2 (* (- (exp (+ (log -2) (log (/ 1 (- x))))) (* 1/4 (/ (pow (exp (+ (log -2) (log (/ 1 (- x))))) 2) (- (exp (+ (log -2) (log (/ 1 (- x))))) 1)))) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))))) (pow (/ 1 (- x)) 2)) (+ (* (* 1/2 (* (sqrt (/ 1 (- (exp (+ (log -2) (log (/ 1 (- x))))) 1))) (exp (+ (log -2) (log (/ 1 (- x))))))) (/ 1 (- x))) (sqrt (- (exp (+ (log -2) (log (/ 1 (- x))))) 1)))) into (- (+ (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))) (sqrt (- (exp (+ (log -2) (log (/ -1 x)))) 1))) (+ (* 1/8 (* (/ (pow (exp (+ (log -2) (log (/ -1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log -2) (log (/ -1 x)))) 1) 3))))) (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) x) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 x) (+ 1 x)))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 x) (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 1 1) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) (log 2))) into (- (+ (log 2) (* 1/2 (pow x 2))) x) * [misc]approximate: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ -1 1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 1) (+ (* -1 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (log 2) into (log 2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log 2)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (+ (log 2) (log x)) into (+ (log 2) (log x)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 1 1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow 2 1)))) 1) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 2 (/ 0 1)) (* -2 (/ 1 1)))) into 2 * [misc]backup-simplify: Simplify (+ 0 2) into 2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow 2 2))) (* 1 (/ (* 1 (pow (* 2 2) 1)) (pow 2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (/ 1 x) 2)) (+ (* -1 (/ 1 x)) (+ (log 2) (log (/ 1 x))))) into (- (+ (log 2) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) * [misc]approximate: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]taylor: Taking taylor expansion of (log1p (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Rewrote expression to (log (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))))) * [misc]taylor: Taking taylor expansion of (+ 1 (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 1 -1) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (log -2) into (log -2) * [misc]backup-simplify: Simplify (+ (* (- -1) (log x)) (log -2)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (+ (log -2) (log x)) into (+ (log -2) (log x)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -2) 1)) (pow -2 1)))) 1) into 1 * [misc]backup-simplify: Simplify 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 0 -1)) (* -2 (/ 0 -1)) (* -2 (/ 1 -1)))) into -2 * [misc]backup-simplify: Simplify (+ 0 -2) into -2 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -2) 2)) (pow -2 2))) (* 1 (/ (* 1 (pow (* 2 -2) 1)) (pow -2 1)))) 2) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow (/ 1 (- x)) 2)) (+ (* 1 (/ 1 (- x))) (+ (log -2) (log (/ 1 (- x)))))) into (- (+ (log -2) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ 1 x)))))) * * * * [misc]progress: [ 5 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 6 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 10 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 15 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log1p x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (exp (- (log (- 1 x)) (log1p x))))))))) * * * * [misc]progress: [ 16 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 18 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (+ 1 x) (+ 1 x)) (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (100 enodes) * * [misc]simplify: iters left: 3 (316 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (+ x 1)) 3) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (cbrt (pow (/ (- 1 x) (+ x 1)) 3)))))))) * * * * [misc]progress: [ 19 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (/ 1 (+ x 1)) (/ x (+ 1 x))))))))) * * * * [misc]progress: [ 24 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 25 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 26 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 27 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (* (cbrt (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 28 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 29 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (+ 1 x)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (+ x 1))))))))) * * * * [misc]progress: [ 30 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (/ 1 (cbrt (+ x 1))) (cbrt (+ x 1))) (/ (- 1 x) (cbrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (- 1 x) (cbrt (+ x 1)))))))))) * * * * [misc]progress: [ 31 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (sqrt (+ x 1))) (/ (- 1 x) (sqrt (+ 1 x)))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ 1 (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 32 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 1) * * [misc]simplify: iters left: 2 (2 enodes) * * [misc]simplify: iters left: 1 (4 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* 1 (/ (- 1 x) (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* 1 (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 33 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 35 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (cbrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))) (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 37 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 38 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (/ (- 1 x) 1) (+ x 1)))))))) * * * * [misc]progress: [ 39 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (+ 1 x) (cbrt (- 1 x)))))))))) * * * * [misc]progress: [ 40 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (sqrt (- 1 x)) (/ (+ 1 x) (sqrt (- 1 x)))))))))) * * * * [misc]progress: [ 41 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (- (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (65 enodes) * * [misc]simplify: iters left: 1 (83 enodes) * [exit]simplify: Simplified to (fma x x (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (+ (pow 1 3) (pow x 3))) (fma x x (- 1 x))))))))) * * * * [misc]progress: [ 43 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 44 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow 1 3) (pow x 3)) * * [misc]simplify: iters left: 3 (6 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (22 enodes) * [exit]simplify: Simplified to (fma (* x x) (- x) 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (fma (* x x) (- x) 1) (* (+ 1 x) (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * * * * [misc]progress: [ 45 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 1 1) (* x x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (10 enodes) * * [misc]simplify: iters left: 2 (14 enodes) * * [misc]simplify: iters left: 1 (16 enodes) * [exit]simplify: Simplified to (- 1 (* x x)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (- 1 (* x x)) (* (+ 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 46 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (+ x 1)))) (sqrt (cbrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 55 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (/ (- 1 x) (+ x 1)))) (sqrt (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x)))))))))) * * * * [misc]progress: [ 56 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (sqrt 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt 1) (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))))))) * * * * [misc]progress: [ 57 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (expm1 (log1p (/ (- 1 x) (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (+ x 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (sqrt (/ (- 1 x) (+ x 1))))))) * * * * [misc]progress: [ 59 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (+ 1 x)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (/ (- 1 x) (+ x 1)))))))) * * * * [misc]progress: [ 64 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 66 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 82 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma x (- (* 2 x) 2) 1))))) * * * * [misc]progress: [ 72 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (exp (+ (log 2) (log (/ 1 x))))) (+ (/ (exp (+ (log 2) (log (/ 1 x)))) x) 1)) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (188 enodes) * * [misc]simplify: iters left: 2 (383 enodes) * [exit]simplify: Simplified to (fma (/ 1 x) (- (/ (/ 2 x) x) (/ 2 x)) (- (/ 2 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (/ 1 x) (- (/ (/ 2 x) x) (/ 2 x)) (- (/ 2 x) 1)))))) * * * * [misc]progress: [ 73 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (exp (+ (log -2) (log (/ -1 x)))) (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2))) (+ (/ (exp (+ (log -2) (log (/ -1 x)))) x) 1)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (76 enodes) * * [misc]simplify: iters left: 3 (168 enodes) * * [misc]simplify: iters left: 2 (340 enodes) * [exit]simplify: Simplified to (- (fma (/ (/ -2 x) x) (/ -1 x) (* (/ -1 x) -2)) (fma (/ -2 x) (/ -1 x) 1)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (- (fma (/ (/ -2 x) x) (/ -1 x) (* (/ -1 x) -2)) (fma (/ -2 x) (/ -1 x) 1)))))) * * * * [misc]progress: [ 74 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma x (- (* 2 x) 2) 1) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (fma x (- (* 2 x) 2) 1))))))) * * * * [misc]progress: [ 75 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))))) * * * * [misc]progress: [ 76 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (72 enodes) * * [misc]simplify: iters left: 2 (164 enodes) * * [misc]simplify: iters left: 1 (383 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ (/ 2 x) x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (log1p (- (- (/ 2 x) 1) (/ (/ 2 x) x)))))))) * * * * [misc]progress: [ 77 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (pow x 2)) 1) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (49 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (fma (* 1/2 x) x (- 1 x)) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (fma (* 1/2 x) x (- 1 x))))) * * * * [misc]progress: [ 78 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (sqrt (- (exp (+ (log 2) (log (/ 1 x)))) 1))) (+ (* 1/2 (* (/ (exp (+ (log 2) (log (/ 1 x)))) x) (sqrt (/ 1 (- (exp (+ (log 2) (log (/ 1 x)))) 1))))) (* 1/8 (* (/ (pow (exp (+ (log 2) (log (/ 1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log 2) (log (/ 1 x)))) 1) 3))))))) * * [misc]simplify: iters left: 6 (32 enodes) * * [misc]simplify: iters left: 5 (77 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (fma (* (/ 1/2 x) (/ (/ 2 x) x)) (sqrt (/ 1 (- (/ 2 x) 1))) (sqrt (- (/ 2 x) 1))) (fma (/ (* (/ 2 x) 1/8) (/ (* x x) (/ 2 x))) (sqrt (/ (/ 1 (- (/ 2 x) 1)) (* (- (/ 2 x) 1) (- (/ 2 x) 1)))) (* (sqrt (/ 1 (- (/ 2 x) 1))) (/ (* 1/2 (/ 2 x)) x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (fma (* (/ 1/2 x) (/ (/ 2 x) x)) (sqrt (/ 1 (- (/ 2 x) 1))) (sqrt (- (/ 2 x) 1))) (fma (/ (* (/ 2 x) 1/8) (/ (* x x) (/ 2 x))) (sqrt (/ (/ 1 (- (/ 2 x) 1)) (* (- (/ 2 x) 1) (- (/ 2 x) 1)))) (* (sqrt (/ 1 (- (/ 2 x) 1))) (/ (* 1/2 (/ 2 x)) x))))))) * * * * [misc]progress: [ 79 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) (pow x 2)) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))) (sqrt (- (exp (+ (log -2) (log (/ -1 x)))) 1))) (+ (* 1/8 (* (/ (pow (exp (+ (log -2) (log (/ -1 x)))) 2) (pow x 2)) (sqrt (/ 1 (pow (- (exp (+ (log -2) (log (/ -1 x)))) 1) 3))))) (* 1/2 (* (/ (exp (+ (log -2) (log (/ -1 x)))) x) (sqrt (/ 1 (- (exp (+ (log -2) (log (/ -1 x)))) 1))))))) * * [misc]simplify: iters left: 6 (34 enodes) * * [misc]simplify: iters left: 5 (78 enodes) * * [misc]simplify: iters left: 4 (209 enodes) * [exit]simplify: Simplified to (- (fma (* (/ 1/2 x) (* (/ -2 x) (/ -1 x))) (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (sqrt (fma -2 (/ -1 x) (- 1)))) (fma (* (* (/ -2 x) (/ -1 x)) (* (* (/ -2 x) (/ -1 x)) 1/8)) (sqrt (/ (/ 1 (fma -2 (/ -1 x) (- 1))) (* (fma -2 (/ -1 x) (- 1)) (fma -2 (/ -1 x) (- 1))))) (* (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (* (* (/ -2 x) (/ -1 x)) 1/2)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (- (fma (* (/ 1/2 x) (* (/ -2 x) (/ -1 x))) (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (sqrt (fma -2 (/ -1 x) (- 1)))) (fma (* (* (/ -2 x) (/ -1 x)) (* (* (/ -2 x) (/ -1 x)) 1/8)) (sqrt (/ (/ 1 (fma -2 (/ -1 x) (- 1))) (* (fma -2 (/ -1 x) (- 1)) (fma -2 (/ -1 x) (- 1))))) (* (sqrt (/ 1 (fma -2 (/ -1 x) (- 1)))) (* (* (/ -2 x) (/ -1 x)) 1/2))))))) * * * * [misc]progress: [ 80 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 2) (* 1/2 (pow x 2))) x) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (56 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (fma 1/2 (* x x) (- (log 2) x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (fma 1/2 (* x x) (- (log 2) x))))))) * * * * [misc]progress: [ 81 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log 2) (+ (log (/ 1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (70 enodes) * * [misc]simplify: iters left: 3 (191 enodes) * [exit]simplify: Simplified to (- (fma (/ 1 x) (/ 1/2 x) (log 2)) (+ (/ 1 x) (log x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (- (fma (/ 1 x) (/ 1/2 x) (log 2)) (+ (/ 1 x) (log x)))))))) * * * * [misc]progress: [ 82 / 82 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log -2) (+ (log (/ -1 x)) (* 1/2 (/ 1 (pow x 2))))) (/ 1 x)) * * [misc]simplify: iters left: 6 (16 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (71 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (449 enodes) * [exit]simplify: Simplified to (+ (fma (/ 1/2 x) (/ 1 x) (log -2)) (- (log (/ -1 x)) (/ 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (expm1 (+ (fma (/ 1/2 x) (/ 1 x) (log -2)) (- (log (/ -1 x)) (/ 1 x)))))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 3 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1 1 2) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 1 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 x)) (cbrt (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 x)) in x * [misc]taylor: Taking taylor expansion of (+ 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (sqrt 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 1))) into 1/2 * [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 (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify (+ (* 1 -1/3) (* -1/3 1)) into -2/3 * [misc]backup-simplify: Simplify (- (/ -2/3 1) (+ (* 1 (/ 1/2 1)))) into -7/6 * [misc]backup-simplify: Simplify -7/6 into -7/6 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify (+ (* 1 -1/9) (+ (* -1/3 -1/3) (* -1/9 1))) into -1/9 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ -1/9 1) (+ (* 1 (/ -1/8 1)) (* -7/6 (/ 1/2 1)))) into 43/72 * [misc]backup-simplify: Simplify 43/72 into 43/72 * [misc]backup-simplify: Simplify (+ (* 43/72 (pow x 2)) (+ (* -7/6 x) 1)) into (- (+ (* 43/72 (pow x 2)) 1) (* 7/6 x)) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 x))) (cbrt (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (exp (* 1/3 (- (log -1) (log x))))) into (pow (exp (* 1/3 (- (log -1) (log x)))) 2) * [misc]backup-simplify: Simplify (/ (pow (exp (* 1/3 (- (log -1) (log x)))) 2) +nan.0) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) into (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x)))))) into (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 2/3 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (exp (* 1/3 (- (log -1) (log x)))) (* -1/9 (exp (* 1/3 (- (log -1) (log x)))))) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) (* -1/3 (exp (* 1/3 (- (log -1) (log x)))))) (* (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) (exp (* 1/3 (- (log -1) (log x))))))) into (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) +nan.0) (+ (* (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) into (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log x)))) 2))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (pow (/ 1 x) 2)) (+ (* (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))) (/ 1 x)) (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2)))) into (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))))))) * [misc]approximate: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]taylor: Taking taylor expansion of (/ (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (cbrt (- 1 (/ 1 (- x)))) (cbrt (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (sqrt (+ 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (+ 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify (* (pow x -1/3) (pow x -1/3)) into (pow (/ 1 (pow x 2)) 1/3) * [misc]backup-simplify: Simplify (/ (pow (/ 1 (pow x 2)) 1/3) +nan.0) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) into (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* 1/3 (pow (/ 1 x) 1/3))) (* (* 1/3 (pow (/ 1 x) 1/3)) (pow x -1/3))) into (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (* 2/3 (pow (/ 1 (pow x 2)) 1/3)) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (pow x -1/3) (* -1/9 (pow (/ 1 x) 1/3))) (+ (* (* 1/3 (pow (/ 1 x) 1/3)) (* 1/3 (pow (/ 1 x) 1/3))) (* (* -1/9 (pow (/ 1 x) 1/3)) (pow x -1/3)))) into (- (* 1/9 (pow (/ 1 (pow x 2)) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- (* 1/9 (pow (/ 1 (pow x 2)) 1/3))) +nan.0) (+ (* (* +nan.0 (pow (/ 1 (pow x 2)) 1/3)) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) into (- (* +nan.0 (pow (/ 1 (pow x 2)) 1/3))) * [misc]backup-simplify: Simplify (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) (pow (/ 1 (- x)) 2)) (+ (* (- (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3))) (/ 1 (- x))) (* +nan.0 (pow (/ 1 (pow (/ 1 (- x)) 2)) 1/3)))) into (- (+ (* +nan.0 (pow (/ 1 x) 1/3)) (- (+ (* +nan.0 (pow (pow x 2) 1/3)) (- (* +nan.0 (pow (/ 1 (pow x 4)) 1/3))))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 2 1) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* -1/3 x) 1)) into (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log -1) (log (/ 1 x))))))) into (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 x) 1/3)) into (* 1/3 (pow (/ 1 x) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 (- x))) 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 (- x))) 1/3)) (/ 1 (- x))) (pow (/ 1 (- x)) -1/3))) into (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 1 1 1 2) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* -1/3 x) 1)) into (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log -1) (log (/ 1 x))))))) into (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 x) 1/3)) into (* 1/3 (pow (/ 1 x) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 (- x))) 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 (- x))) 1/3)) (/ 1 (- x))) (pow (/ 1 (- x)) -1/3))) into (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2 1 1 1 1 1) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 x)) in x * [misc]taylor: Rewrote expression to (pow (- 1 x) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 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 (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (* 1/3 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 -1) 1)) (pow 1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 0)) into -1/3 * [misc]backup-simplify: Simplify (exp 0) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 1) 1)))) into -1/3 * [misc]backup-simplify: Simplify -1/3 into -1/3 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 -1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 0))) into -1/6 * [misc]backup-simplify: Simplify (* (exp 0) (+ (* (/ (pow -1/3 2) 2)) (* (/ (pow -1/6 1) 1)))) into -1/9 * [misc]backup-simplify: Simplify -1/9 into -1/9 * [misc]backup-simplify: Simplify (+ (* -1/9 (pow x 2)) (+ (* -1/3 x) 1)) into (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 x))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 x)) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (log -1) into (log -1) * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log -1) (log x))) into (* 1/3 (- (log -1) (log x))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (exp (* 1/3 (- (log -1) (log x)))) into (exp (* 1/3 (- (log -1) (log x)))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow -1 1)))) 1) into -1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1) (* 0 (- (log -1) (log x)))) into (- 1/3) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 1) 1)))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/3 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow -1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow -1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) (log -1)) into (- (log -1) (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 -1) (* 0 (- (log -1) (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* 1/3 (- (log -1) (log x)))) (+ (* (/ (pow (- 1/3) 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) into (* -1/9 (exp (* 1/3 (- (log -1) (log x))))) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (pow (/ 1 x) 2)) (+ (* (* -1/3 (exp (* 1/3 (- (log -1) (log (/ 1 x)))))) (/ 1 x)) (exp (* 1/3 (- (log -1) (log (/ 1 x))))))) into (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * [misc]approximate: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]taylor: Taking taylor expansion of (cbrt (- 1 (/ 1 (- x)))) in x * [misc]taylor: Rewrote expression to (pow (- 1 (/ 1 (- x))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (- 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (log 1) into 0 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (* 1/3 (- (log x))) into (* -1/3 (log x)) * [misc]backup-simplify: Simplify (exp (* -1/3 (log x))) into (pow x -1/3) * [misc]backup-simplify: Simplify (pow x -1/3) into (pow x -1/3) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 1) 1)) (pow 1 1)))) 1) into 1 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 1) (* 0 (- (log x)))) into 1/3 * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 1) 1)))) into (* 1/3 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* 1/3 (pow (/ 1 x) 1/3)) into (* 1/3 (pow (/ 1 x) 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 (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 1) 2)) (pow 1 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 1 1)))) 2) into -1/2 * [misc]backup-simplify: Simplify (+ (* (- 1) (log x)) 0) into (- (log x)) * [misc]backup-simplify: Simplify (+ (* 1/3 -1/2) (+ (* 0 1) (* 0 (- (log x))))) into (- 1/6) * [misc]backup-simplify: Simplify (* (exp (* -1/3 (log x))) (+ (* (/ (pow 1/3 2) 2)) (* (/ (pow (- 1/6) 1) 1)))) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (* -1/9 (pow (/ 1 x) 1/3)) into (* -1/9 (pow (/ 1 x) 1/3)) * [misc]backup-simplify: Simplify (+ (* (* -1/9 (pow (/ 1 (/ 1 (- x))) 1/3)) (pow (/ 1 (- x)) 2)) (+ (* (* 1/3 (pow (/ 1 (/ 1 (- x))) 1/3)) (/ 1 (- x))) (pow (/ 1 (- x)) -1/3))) into (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (log (cbrt (- 1 x))) (log (cbrt (- 1 x)))) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * * [misc]simplify: iters left: 1 (33 enodes) * [exit]simplify: Simplified to (- (log (cbrt (- 1 x))) (- (log (sqrt (+ x 1))) (log (cbrt (- 1 x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (exp (- (log (cbrt (- 1 x))) (- (log (sqrt (+ x 1))) (log (cbrt (- 1 x)))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 5 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (+ (- (log (cbrt (- 1 x))) (log (sqrt (+ x 1)))) (log (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (exp (+ (- (log (cbrt (- 1 x))) (log (sqrt (+ x 1)))) (log (cbrt (- 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 6 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (- 1 x) (- 1 x)) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (65 enodes) * * [misc]simplify: iters left: 3 (139 enodes) * * [misc]simplify: iters left: 2 (479 enodes) * [exit]simplify: Simplified to (/ (/ (* (- 1 x) (- 1 x)) (sqrt (+ x 1))) (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (/ (/ (* (- 1 x) (- 1 x)) (sqrt (+ x 1))) (+ x 1))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 9 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (96 enodes) * * [misc]simplify: iters left: 3 (270 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (/ (sqrt (+ x 1)) (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (/ (- 1 x) (/ (sqrt (+ x 1)) (/ (- 1 x) (+ x 1))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 10 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 16 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 17 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt 1)) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt 1)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt 1)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 18 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 19 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) 1) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (9 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 5 (7 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (13 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 20 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 24 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (cbrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (cbrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 25 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 26 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (+ x 1))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 27 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (+ 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 28 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (7 enodes) * [exit]simplify: Simplified to (sqrt (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (+ x 1))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 29 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (cbrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (- 1 x)) (/ (sqrt (+ 1 x)) (cbrt (- 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 30 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * * [misc]simplify: iters left: 1 (85 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (fma x x (- 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 31 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- 1 x)) * * [misc]simplify: iters left: 3 (4 enodes) * * [misc]simplify: iters left: 2 (8 enodes) * * [misc]simplify: iters left: 1 (9 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 32 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* x x) (- x) 1)) (cbrt (fma (* x x) (- x) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (fma (* x x) (- x) 1)) (cbrt (fma (* x x) (- x) 1))) (* (sqrt (+ 1 x)) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 33 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (fma (* x x) (- x) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 (* x x))) (cbrt (fma (* x x) (- x) 1))) (* (sqrt (+ 1 x)) (* (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))) (cbrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 34 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 (* x x))) (cbrt (fma (* x x) (- x) 1))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 (* x x))) (cbrt (fma (* x x) (- x) 1))) (* (sqrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 35 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 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 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 36 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (* x x) (- x) 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (fma (* x x) (- x) 1)) (cbrt (- 1 x))) (* (sqrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 37 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 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 (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 38 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (pow 1 3) (pow x 3))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (fma (- x) (* x x) 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (fma (- x) (* x x) 1)) (cbrt (- 1 x))) (* (sqrt (+ 1 x)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 39 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (- (* 1 1) (* x x))) (cbrt (- 1 x))) * * [misc]simplify: iters left: 6 (9 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 (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (* (sqrt (+ 1 x)) (cbrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 40 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 43 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 45 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 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 (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (cbrt (- 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 47 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 48 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (* (cbrt 1) (cbrt (- 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 49 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (fma (- x) (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (/ (cbrt (fma (- x) (* x x) 1)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 50 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (/ (cbrt (- 1 (* x x))) (cbrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 51 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 55 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 57 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 58 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 59 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 60 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 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 (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (cbrt (- 1 x))))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 62 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x))))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 63 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (* (cbrt 1) (cbrt (- 1 x)))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 64 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (fma (- x) (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (/ (cbrt (fma (- x) (* x x) 1)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x)))))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 65 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (/ (cbrt (- 1 (* x x))) (cbrt (+ 1 x)))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 66 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 69 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 74 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 75 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 76 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 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 (* (cbrt (- 1 x)) (cbrt (- 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (* (cbrt (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (cbrt (- 1 x)))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 77 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (sqrt (- 1 x))) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (9 enodes) * * [misc]simplify: iters left: 2 (10 enodes) * [exit]simplify: Simplified to (cbrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (* (cbrt (sqrt (- 1 x))) (cbrt (sqrt (- 1 x)))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 78 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to (cbrt 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (* (cbrt 1) (cbrt (- 1 x))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 79 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 4 (7 enodes) * * [misc]simplify: iters left: 3 (16 enodes) * * [misc]simplify: iters left: 2 (23 enodes) * * [misc]simplify: iters left: 1 (29 enodes) * [exit]simplify: Simplified to (cbrt (fma (- x) (* x x) 1)) * [misc]simplify: Simplified (2 2 1 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (/ (cbrt (fma (- x) (* x x) 1)) (cbrt (+ (* 1 1) (+ (* x x) (* 1 x))))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 80 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (11 enodes) * * [misc]simplify: iters left: 3 (15 enodes) * * [misc]simplify: iters left: 2 (17 enodes) * [exit]simplify: Simplified to (cbrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (/ (cbrt (- 1 (* x x))) (cbrt (+ 1 x))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 81 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 82 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 83 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 84 / 96 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 43/72 (pow x 2)) 1) (* 7/6 x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (68 enodes) * * [misc]simplify: iters left: 2 (89 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (fma x (- (* 43/72 x) 7/6) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (fma x (- (* 43/72 x) 7/6) 1) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 86 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) (pow x 2))) (- (+ (* +nan.0 (/ (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2) x)) (- (* +nan.0 (pow (exp (* 1/3 (- (log -1) (log (/ 1 x))))) 2))))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* +nan.0 (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 87 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (pow (/ 1 x) 1/3)) (- (+ (* +nan.0 (pow (pow x 2) 1/3)) (- (* +nan.0 (pow (/ 1 (pow x 4)) 1/3))))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* +nan.0 (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 88 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/9 1/3) 1) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (fma (- x) (fma x 1/9 1/3) 1) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 89 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 90 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3)) * [misc]simplify: Simplified (2 2 1 1 2 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 91 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/9 1/3) 1) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (fma (- x) (fma x 1/9 1/3) 1)) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 92 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x)))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 93 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3)) * [misc]simplify: Simplified (2 2 1 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 94 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- 1 (+ (* 1/3 x) (* 1/9 (pow x 2)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (156 enodes) * * [misc]simplify: iters left: 1 (218 enodes) * [exit]simplify: Simplified to (fma (- x) (fma x 1/9 1/3) 1) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (fma (- x) (fma x 1/9 1/3) 1) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 95 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (+ (* 1/3 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) x)) (* 1/9 (/ (exp (* 1/3 (- (log -1) (log (/ 1 x))))) (pow x 2))))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (43 enodes) * * [misc]simplify: iters left: 4 (78 enodes) * * [misc]simplify: iters left: 3 (150 enodes) * * [misc]simplify: iters left: 2 (334 enodes) * [exit]simplify: Simplified to (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (fma (/ (cbrt (* -1 x)) x) (- (- 1/3) (/ 1/9 x)) (cbrt (* -1 x))) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 96 / 96 ] simplifiying candidate # * [enter]simplify: Simplifying (- (pow (/ -1 x) -1/3) (+ (* 1/3 (pow (/ -1 (pow x 2)) 1/3)) (* 1/9 (pow (/ -1 (pow x 5)) 1/3)))) * * [misc]simplify: iters left: 6 (19 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3)) * [misc]simplify: Simplified (2 2 1 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (- (fma (cbrt (/ -1 (pow x 5))) (- 1/9) (pow (/ -1 x) -1/3)) (* (cbrt (/ (/ -1 x) x)) 1/3)) (cbrt (- 1 x))) (sqrt (+ 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# #) * * * [misc]regime-changes: Trying 2 branch expressions: (x (/ (- 1 x) (+ 1 x))) * * * * [misc]regimes: Trying to branch on x from (# #) * * * * [misc]regimes: Trying to branch on (/ (- 1 x) (+ 1 x)) from (# #) * * * [misc]regime: Found split indices: #