* [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 124 additional inputs, on iter 1 have 132 / 256 * * * * [misc]points: Computing exacts on every 7 of 124 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts on every 3 of 124 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 124 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 50 additional inputs, on iter 2 have 206 / 256 * * * * [misc]points: Computing exacts on every 3 of 50 points to ramp up precision * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Computing exacts for 50 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 24 additional inputs, on iter 3 have 232 / 256 * * * * [misc]points: Computing exacts for 24 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 13 additional inputs, on iter 4 have 243 / 256 * * * * [misc]points: Computing exacts for 13 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [misc]points: Sampling 4 additional inputs, on iter 5 have 252 / 256 * * * * [misc]points: Computing exacts for 4 points * * * * [misc]points: Setting MPFR precision to 64 * * * * [misc]points: Setting MPFR precision to 320 * * * * [misc]points: Filtering points with unrepresentable outputs * * * * [exit]points: Sampled 256 points with exact outputs * * * [misc]progress: [2/2] Setting up program. * [misc]progress: [Phase 2 of 3] Improving. * [enter]simplify: Simplifying (* 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 (313 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 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 (49 enodes) * * [misc]simplify: iters left: 2 (66 enodes) * * [misc]simplify: iters left: 1 (92 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 (23 enodes) * * [misc]simplify: iters left: 2 (28 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 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 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 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 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 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (fma x 2 -2) x 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (fma x 2 -2) x 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 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 (63 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 (89 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* 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 (89 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1)))))) * * * * [misc]progress: [ 78 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 79 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * * [misc]progress: [ 80 / 80 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (/ (- 1 x) (+ x 1)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (sqrt (/ (- 1 x) (+ x 1)))))) * * * [misc]progress: adding candidates to table * * [misc]progress: iteration 2 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1 1)) (* -1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -1) (* 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) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 (* 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 (- 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* -1 -1)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)) (* -1 (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (* 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) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (* -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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 1 -1)) (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -1 1) (* -1 1))) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (+ (* -2 (pow (/ 1 (- x)) 2)) (+ (* -2 (/ 1 (- x))) -1)) into (- (* 2 (/ 1 x)) (+ (* 2 (/ 1 (pow x 2))) 1)) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 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 1) (* x x))) (- 1 x))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1 1)) (* -1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -1) (* 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) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 (* 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 (- 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 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) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 (* 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 (- 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)) (* -1 (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (* 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) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (* -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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -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) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (* -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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 1 -1)) (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -1 1) (* -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 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 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 (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1 1)) (* -1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (pow x 2) 1) x) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [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 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)) (* -1 (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (+ (* 1 (pow (/ 1 x) 3)) (+ (* -1 (pow (/ 1 x) 2)) (* 1 (/ 1 x)))) into (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -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 (- (+ (* -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 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 1 -1)) (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (+ (* -1 (pow (/ 1 (- x)) 3)) (+ (* -1 (pow (/ 1 (- x)) 2)) (* -1 (/ 1 (- x))))) into (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) into (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (* (- 1 (/ 1 (/ 1 x))) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 x) 2))))))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]approximate: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (atan (* (+ (/ 1 (/ 1 (- x))) 1) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 (- x)) 2))))))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * * * [misc]progress: simplifying candidates * * * * [misc]progress: [ 1 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (pow (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) 1))))) * * * * [misc]progress: [ 4 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 5 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- 1 x)) (log (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x))))))))) * * * * [misc]progress: [ 6 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 1 x) (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x))))))))) * * * * [misc]progress: [ 7 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 9 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3))))))) * * * * [misc]progress: [ 10 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- 1 x) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3))))))) * * * * [misc]progress: [ 11 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (- 1 x) (- (pow 1 3) (pow x 3))) (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x)))))))) * * * * [misc]progress: [ 15 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (- (- 1 x) (* (- 1 x) (* x x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (- (- 1 x) (* (- 1 x) (* x x))) (* (- (* 1 1) (* x x)) (+ 1 x))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (- x) (+ 1 x)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (- 1 x) (- (* 1 1) (* x x))) (fma (fma x x x) (- x) (+ 1 x))))))) * * * * [misc]progress: [ 16 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x)))))))) * * * * [misc]progress: [ 18 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x)))))))) * * * * [misc]progress: [ 19 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x)))))))) * * * * [misc]progress: [ 20 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x)))))))) * * * * [misc]progress: [ 21 / 120 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (- 1 x))))))) * * * * [misc]progress: [ 22 / 120 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (sqrt (- 1 x))) (sqrt (- 1 x))))))) * * * * [misc]progress: [ 23 / 120 ] 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) (- 1 x)))))) * * * * [misc]progress: [ 24 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (cbrt (/ (- 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 25 / 120 ] 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 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (* (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 26 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (* (/ (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 27 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x 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 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) (* (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 28 / 120 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 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 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 29 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) (* (/ (cbrt (- 1 x)) (- 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 30 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (sqrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 31 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (* (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 32 / 120 ] 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 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 33 / 120 ] simplifiying candidate # * [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) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (+ x 1)) (* (/ (sqrt (- 1 x)) (- 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 34 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (- 1 x) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 35 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* 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 (/ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (- 1 (* x x)))) (* (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 36 / 120 ] 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 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 37 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (+ 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (7 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (+ x 1)) (* (/ (- 1 x) (- 1 x)) (- 1 x))))))) * * * * [misc]progress: [ 38 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 120 ] 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 (- (* 1 1) (* x x))) (- 1 x))))))) * * * * [misc]progress: [ 40 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (pow (* 1 1) 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 6))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 6))) (* (+ (* (* 1 1) (* 1 1)) (+ (* (* x x) (* x x)) (* (* 1 1) (* x x)))) (- 1 x))))))) * * * * [misc]progress: [ 41 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* (* 1 1) (* 1 1)) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 4))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 4))) (* (+ (* 1 1) (* x x)) (- 1 x))))))) * * * * [misc]progress: [ 42 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (fma x (+ 1 x) 1) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (pow 1 3) (pow x 3))) (fma x (+ 1 x) 1)))))) * * * * [misc]progress: [ 43 / 120 ] 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 1) (* x x))) (- (* 1 1) (* x x))) (+ x 1)))))) * * * * [misc]progress: [ 44 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- (* 1 1) (* x x))))))) * * * * [misc]progress: [ 45 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 46 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 49 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 50 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 54 / 120 ] 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: [ 55 / 120 ] 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 (21 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (324 enodes) * [exit]simplify: Simplified to (sqrt (fma (fma (- x) (* x x) 1) (- x) (fma (- x) (* x x) 1))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (fma (fma (- x) (* x x) 1) (- x) (fma (- x) (* x x) 1))) (sqrt (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 56 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (254 enodes) * [exit]simplify: Simplified to (sqrt (* (- 1 (* x x)) (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (* (- 1 (* x x)) (- 1 x))) (sqrt (* (- (* 1 1) (* x x)) (+ 1 x))))))) * * * * [misc]progress: [ 57 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (pow 1 3) (pow x 3)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (58 enodes) * * [misc]simplify: iters left: 3 (162 enodes) * [exit]simplify: Simplified to (sqrt (/ (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (/ (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) (- 1 (* x x)))) (sqrt (+ (* 1 1) (+ (* x x) (* 1 x)))))))) * * * * [misc]progress: [ 58 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (127 enodes) * * [misc]simplify: iters left: 2 (401 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 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (- 1 x) (- 1 x))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (10 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (87 enodes) * [exit]simplify: Simplified to (fabs (- 1 x)) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (fabs (- 1 x)) (sqrt (- (* 1 1) (* x x))))))) * * * * [misc]progress: [ 60 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 61 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 62 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 63 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 64 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 65 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (exp (- (log (- 1 x)) (log (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 66 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 67 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 68 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (250 enodes) * [exit]simplify: Simplified to (pow (/ (- 1 x) (- 1 (* x x))) 3) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (cbrt (pow (/ (- 1 x) (- 1 (* x x))) 3)) (- 1 x)))))) * * * * [misc]progress: [ 69 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 70 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 71 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 72 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 73 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * [exit]simplify: Simplified to (/ 1 (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- (/ 1 (- 1 (* x x))) (/ x (- (* 1 1) (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 74 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (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)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (/ (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 75 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x 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 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x 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 x)))) (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (sqrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 76 / 120 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (- (* 1 1) (* x x)))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (- 1 (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 77 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (- 1 x))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (cbrt (- 1 x)) (- 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)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (+ 1 x)) (/ (cbrt (- 1 x)) (- 1 x))) (- 1 x)))))) * * * * [misc]progress: [ 78 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (/ (sqrt (- 1 x)) (cbrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (/ (sqrt (- 1 x)) (cbrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 79 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 80 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (- (* 1 1) (* x x)))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (- 1 (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 81 / 120 ] simplifiying candidate # * [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) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (+ x 1)) (/ (sqrt (- 1 x)) (- 1 x))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (- 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 (/ (sqrt (- 1 x)) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (sqrt (- 1 x)) (+ 1 x)) (/ (sqrt (- 1 x)) (- 1 x))) (- 1 x)))))) * * * * [misc]progress: [ 82 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (/ (- 1 x) (cbrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (- (* 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 (/ (- 1 x) (cbrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (/ (- 1 x) (cbrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 83 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* 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 (/ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (- 1 (* x x)))) (/ (- 1 x) (sqrt (- (* 1 1) (* x x))))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (- (* 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 (/ (- 1 x) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (sqrt (- 1 (* x x)))) (/ (- 1 x) (sqrt (- 1 (* x x))))) (- 1 x)))))) * * * * [misc]progress: [ 84 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* 1 (/ (- 1 x) (- 1 (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 85 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (+ x 1)) (/ (- 1 x) (- 1 x))) (- 1 x)))))) * [enter]simplify: Simplifying (/ (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (12 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ 1 (+ 1 x)) 1) (- 1 x)))))) * * * * [misc]progress: [ 86 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 88 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 120 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) (cbrt (- 1 (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 90 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (- (* 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 (sqrt (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 (* x x)))) (- 1 x)))))) * * * * [misc]progress: [ 91 / 120 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) 1) (- 1 (* x x))) (- 1 x)))))) * * * * [misc]progress: [ 92 / 120 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (+ 1 x)) (- 1 x)) (- 1 x)))))) * * * * [misc]progress: [ 93 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (- (* 1 1) (* x x)) (cbrt (- 1 x)))) (- 1 x)))))) * * * * [misc]progress: [ 94 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (/ (- (* 1 1) (* x x)) (sqrt (- 1 x)))) (- 1 x)))))) * * * * [misc]progress: [ 95 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* (* 1 1) (* 1 1)) (+ (* (* x x) (* x x)) (* (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (59 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (131 enodes) * [exit]simplify: Simplified to (fma (* x x) (* x x) (fma x x 1)) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (- 1 x) (- (pow (* 1 1) 3) (pow (* x x) 3))) (fma (* x x) (* x x) (fma x x 1))) (- 1 x)))))) * * * * [misc]progress: [ 97 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (* x 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 (fma x x 1) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (- 1 x) (- (* (* 1 1) (* 1 1)) (* (* x x) (* x x)))) (fma x x 1)) (- 1 x)))))) * * * * [misc]progress: [ 98 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (/ (fma (- x) (* x x) 1) (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x))))) (- 1 x)))))) * * * * [misc]progress: [ 99 / 120 ] 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) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 (* x x)) (* (- (* 1 1) (* x x)) (+ 1 x))) (- 1 x)))))) * * * * [misc]progress: [ 100 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 102 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 103 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 104 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 105 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 106 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 107 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 108 / 120 ] simplifiying candidate # * * * * [misc]progress: [ 109 / 120 ] 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 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (fma x 2 -2) x 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (fma x 2 -2) x 1))))) * * * * [misc]progress: [ 110 / 120 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 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: [ 111 / 120 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 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: [ 112 / 120 ] 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 (63 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: [ 113 / 120 ] 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 (89 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1)))))) * * * * [misc]progress: [ 114 / 120 ] 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 (89 enodes) * * [misc]simplify: iters left: 3 (182 enodes) * * [misc]simplify: iters left: 2 (368 enodes) * [exit]simplify: Simplified to (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (+ (+ (sqrt -1) (/ (/ 1 x) (sqrt -1))) (/ (/ -1/2 (* x x)) (sqrt -1)))))) * * * * [misc]progress: [ 115 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (pow x 2) 1) x) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (14 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (- (fma x x 1) x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- (fma x x 1) x) (- 1 x)))))) * * * * [misc]progress: [ 116 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (- 1 x)))))) * * * * [misc]progress: [ 117 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (/ 1 (pow x 3)) (/ 1 x)) (/ 1 (pow x 2))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (+ (/ (/ 1 x) (* x x)) (- (/ 1 x) (/ (/ 1 x) x))) (- 1 x)))))) * * * * [misc]progress: [ 118 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))))) * * * * [misc]progress: [ 119 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))))) * * * * [misc]progress: [ 120 / 120 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (87 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (atan (* (sqrt (/ 1 (- 1 (* x x)))) (- 1 x))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (- 1 (* x 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) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2 1 1 1) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1 1) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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]taylor: Taking taylor expansion of (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1/2 1)))) into -3/2 * [misc]backup-simplify: Simplify (- (/ -3/2 1) (+ (* 1 (/ 1/2 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 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1/8 1)) (* -3/2 (/ 1/2 1)))) into 7/8 * [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 (- (/ 7/8 1) (+ (* 1 (/ -1/8 1)) (* -2 (/ 1/2 1)))) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (+ (* 2 (pow x 2)) (+ (* -2 x) 1)) into (- (+ (* 2 (pow x 2)) 1) (* 2 x)) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [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 (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2 1 1 1) * [misc]approximate: Taking taylor expansion of (/ (- 1 x) (sqrt (+ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [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 (- (/ -1 1) (+ (* 1 (/ 1/2 1)))) into -3/2 * [misc]backup-simplify: Simplify -3/2 into -3/2 * [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 (pow 1/2 2) (+)) (* 2 1)) into -1/8 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1/8 1)) (* -3/2 (/ 1/2 1)))) into 7/8 * [misc]backup-simplify: Simplify 7/8 into 7/8 * [misc]backup-simplify: Simplify (+ (* 7/8 (pow x 2)) (+ (* -3/2 x) 1)) into (- (+ (* 7/8 (pow x 2)) 1) (* 3/2 x)) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 x)) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 x))))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- +nan.0) into (- +nan.0) * [misc]backup-simplify: Simplify (+ (* (- +nan.0) (/ 1 (- x))) (+ (- +nan.0) (* +nan.0 (/ 1 (/ 1 (- x)))))) into (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1/2 1)))) into -3/2 * [misc]backup-simplify: Simplify (- (/ -3/2 1) (+ (* 1 (/ 1/2 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (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]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 (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) 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 (sqrt 1) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 1/2 1)))) into -3/2 * [misc]backup-simplify: Simplify (- (/ -3/2 1) (+ (* 1 (/ 1/2 1)))) into -2 * [misc]backup-simplify: Simplify (/ -2 (* 2 (sqrt 1))) into -1 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify -1 into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [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 (- (/ 0 1) (+ (* 1 (/ -1/8 1)) (* -3/2 (/ 1/2 1)))) into 7/8 * [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 (- (/ 7/8 1) (+ (* 1 (/ -1/8 1)) (* -2 (/ 1/2 1)))) into 2 * [misc]backup-simplify: Simplify (/ (- 2 (pow -1 2) (+)) (* 2 1)) into 1/2 * [misc]backup-simplify: Simplify 1/2 into 1/2 * [misc]backup-simplify: Simplify (+ (* 1/2 (pow x 2)) (+ (* -1 x) 1)) into (- (+ (* 1/2 (pow x 2)) 1) x) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (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]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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [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 (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- 0) 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 x) 2)) (+ (* +nan.0 (/ 1 x)) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]approximate: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]taylor: Taking taylor expansion of (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x)))))) in x * [misc]taylor: Taking taylor expansion of (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (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]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 (- -1) into 1 * [misc]backup-simplify: Simplify (+ 0 1) into 1 * [misc]backup-simplify: Simplify (/ 1 +nan.0) into +nan.0 * [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 (/ +nan.0 +nan.0) into +nan.0 * [misc]backup-simplify: Simplify (sqrt 0) into 0 * [misc]backup-simplify: Simplify (/ +nan.0 (* 2 (sqrt 0))) into +nan.0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 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 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 1 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ (- 1 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.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 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify (- (/ (- +nan.0) +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) * [misc]backup-simplify: Simplify (/ (- (- +nan.0) (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 * [misc]backup-simplify: Simplify +nan.0 into +nan.0 * [misc]backup-simplify: Simplify (+ (* +nan.0 (pow (/ 1 (- x)) 2)) (+ (* +nan.0 (/ 1 (- x))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * * * * [misc]progress: [ 4 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) into (atan (sqrt (/ (- 1 x) (+ x 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 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)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))))) into (atan (sqrt (/ (- 1 (/ 1 x)) (+ (/ 1 x) 1)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 1 (/ 1 x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 (/ 1 x)) (sqrt (+ 1 (/ 1 x)))) (sqrt (+ 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))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))))) into (atan (sqrt (/ (+ (/ 1 x) 1) (- 1 (/ 1 x))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 1 (/ 1 (- x))))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (/ (/ (- 1 (/ 1 (- x))) (sqrt (+ 1 (/ 1 (- x))))) (sqrt (+ 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 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 4 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (- (log (- 1 x)) (log (sqrt (+ 1 x)))) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (98 enodes) * [exit]simplify: Simplified to (- (- (log (- 1 x)) (log (sqrt (+ x 1)))) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (- (log (- 1 x)) (log (sqrt (+ x 1)))) (log (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 5 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (/ (- 1 x) (sqrt (+ 1 x)))) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (75 enodes) * * [misc]simplify: iters left: 1 (102 enodes) * [exit]simplify: Simplified to (- (log (/ (- 1 x) (sqrt (+ x 1)))) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (exp (- (log (/ (- 1 x) (sqrt (+ x 1)))) (log (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 6 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 7 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 8 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (114 enodes) * * [misc]simplify: iters left: 3 (422 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (cbrt (* (/ (- 1 x) (+ x 1)) (* (/ (- 1 x) (+ x 1)) (/ (- 1 x) (+ x 1))))))))) * * * * [misc]progress: [ 9 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (/ (- 1 x) (sqrt (+ 1 x))) (/ (- 1 x) (sqrt (+ 1 x)))) (/ (- 1 x) (sqrt (+ 1 x)))) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (34 enodes) * * [misc]simplify: iters left: 4 (116 enodes) * * [misc]simplify: iters left: 3 (395 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: [ 10 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 11 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 12 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 14 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 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 (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 15 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 16 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (fabs (cbrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (fabs (cbrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (fabs (cbrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 17 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (sqrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (sqrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 18 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * * [misc]simplify: iters left: 1 (35 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 19 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (sqrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (sqrt (+ x 1))) (cbrt (/ (- 1 x) (sqrt (+ x 1)))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 20 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 21 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 22 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 23 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 24 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 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)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 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) (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 25 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 26 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 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)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 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) (sqrt (+ x 1)))) (sqrt (+ x 1))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 27 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (123 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (/ (cbrt (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 (sqrt (+ x 1))) (cbrt (- 1 x)))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [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 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (/ (cbrt (sqrt (+ x 1))) (cbrt (- 1 x)))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 28 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (80 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 29 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 30 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (250 enodes) * * [misc]simplify: iters left: 1 (338 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 31 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (110 enodes) * * [misc]simplify: iters left: 1 (127 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 32 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (82 enodes) * * [misc]simplify: iters left: 2 (258 enodes) * * [misc]simplify: iters left: 1 (351 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 33 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (76 enodes) * * [misc]simplify: iters left: 2 (118 enodes) * * [misc]simplify: iters left: 1 (139 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 34 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (53 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)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 35 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 36 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (103 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 37 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 38 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (99 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 39 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 40 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 41 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 42 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 43 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 44 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 45 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (337 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (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 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 46 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * * [misc]simplify: iters left: 2 (64 enodes) * * [misc]simplify: iters left: 1 (77 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 47 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 48 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 49 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (141 enodes) * * [misc]simplify: iters left: 1 (145 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 50 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 51 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (73 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (cbrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 52 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (fabs (cbrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 53 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 54 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (137 enodes) * * [misc]simplify: iters left: 1 (146 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 55 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (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 (33 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (cbrt (- 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 56 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (130 enodes) * * [misc]simplify: iters left: 1 (135 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 57 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (218 enodes) * * [misc]simplify: iters left: 1 (252 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (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 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 58 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (76 enodes) * * [misc]simplify: iters left: 1 (79 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 59 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 60 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * * [misc]simplify: iters left: 2 (28 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 61 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (133 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (/ (cbrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 62 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (57 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 63 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 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 (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 64 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (fabs (cbrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (fabs (cbrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (fabs (cbrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 65 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 66 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 67 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 68 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1) * * [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 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 69 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 70 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (19 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)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1)) (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 71 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 72 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 73 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 74 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 75 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 76 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 77 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 78 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 79 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 80 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 81 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (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 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 82 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 83 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 84 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 85 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 86 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt 1)) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 87 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))))))) * * * * [misc]progress: [ 88 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1))))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 89 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 90 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 91 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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 (+ x 1))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 92 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 93 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (37 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (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 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 94 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 95 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 96 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (14 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 97 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 98 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) 1) 1) * * [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 (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (sqrt (- 1 x)) (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (17 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: [ 99 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 100 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 101 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 102 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 103 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (30 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 104 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * * [misc]simplify: iters left: 2 (25 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 105 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (cbrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 106 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 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) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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 (+ x 1)) (cbrt (+ x 1)))) (/ (- 1 x) (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 107 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 108 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 109 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 110 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 111 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 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 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 112 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 113 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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 (+ x 1))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 114 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 115 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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 (+ x 1))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 116 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 117 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (* (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 (21 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 118 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (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 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 119 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 120 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 121 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 122 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt 1)) 1) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (8 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 123 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 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 (22 enodes) * * [misc]simplify: iters left: 3 (27 enodes) * * [misc]simplify: iters left: 2 (28 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 124 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * [exit]simplify: Simplified to (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (32 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * * [misc]simplify: iters left: 1 (49 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (sqrt (sqrt (+ x 1))) (fabs (cbrt (+ x 1))))) (/ (/ (- 1 x) (sqrt (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 125 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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 (+ x 1))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 126 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 127 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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 (+ x 1))) (/ (- 1 x) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 128 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 (sqrt (sqrt (+ 1 x)))) 1) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 129 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 130 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 131 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 132 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt 1)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 133 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 134 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 135 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (/ (- 1 x) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 136 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (40 enodes) * * [misc]simplify: iters left: 2 (46 enodes) * * [misc]simplify: iters left: 1 (48 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 137 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 138 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* 1 (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 139 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * * [misc]simplify: iters left: 1 (47 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 140 / 429 ] 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) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 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: [ 141 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (33 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (/ 1 (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 142 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 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 (/ (- 1 x) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 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 (16 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (fabs (cbrt (+ x 1)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 143 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 144 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt 1)) * * [misc]simplify: iters left: 4 (5 enodes) * * [misc]simplify: iters left: 3 (12 enodes) * * [misc]simplify: iters left: 2 (13 enodes) * * [misc]simplify: iters left: 1 (15 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (/ 1 (+ x 1))))))) * * * * [misc]progress: [ 145 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * * [misc]simplify: iters left: 4 (15 enodes) * [exit]simplify: Simplified to (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (/ (/ 1 (sqrt (+ x 1))) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 146 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) 1) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (11 enodes) * * [misc]simplify: iters left: 2 (16 enodes) * * [misc]simplify: iters left: 1 (18 enodes) * [exit]simplify: Simplified to (- 1 x) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (/ 1 (sqrt (+ 1 x))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (+ x 1)) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (- 1 x) (/ 1 (+ x 1))))))) * * * * [misc]progress: [ 147 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (52 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (106 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (fma (* x x) x 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (fma (* x x) x 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma x x (- 1 x))) (cbrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (fma (* x x) x 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (fma x x (- 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 148 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (31 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (fabs (cbrt (+ x 1)))) (sqrt (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (fabs (cbrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (cbrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma x x (- 1 x))) (sqrt (cbrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (fabs (cbrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (fma x x (- 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 149 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma x x (- 1 x))) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (fma x x (- 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 150 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (fma x (* x x) 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (fma x (* x x) 1))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (fma x x 1) x)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (fma x (* x x) 1))) (/ (sqrt (- (fma x x 1) x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 151 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (56 enodes) * * [misc]simplify: iters left: 2 (73 enodes) * * [misc]simplify: iters left: 1 (100 enodes) * [exit]simplify: Simplified to (/ (sqrt (fma x x (- 1 x))) (sqrt (sqrt (+ 1 x)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1))) (/ (sqrt (fma x x (- 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 152 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) 1) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (fma (* x x) x 1))) (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x)))))))) * [enter]simplify: Simplifying (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (72 enodes) * * [misc]simplify: iters left: 1 (93 enodes) * [exit]simplify: Simplified to (/ (sqrt (- (fma x x 1) x)) (sqrt (+ 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (fma (* x x) x 1))) (/ (sqrt (- (fma x x 1) x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 153 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 154 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))))))) * * * * [misc]progress: [ 155 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 156 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (/ (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 (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 157 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))))))) * * * * [misc]progress: [ 158 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) 1) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (43 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (57 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (/ (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 (* (/ (- 1 x) (sqrt (- 1 (* x x)))) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 159 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 160 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 161 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 162 / 429 ] 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 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (/ (- 1 x) (sqrt (+ 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 163 / 429 ] 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 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1)))))))) * * * * [misc]progress: [ 164 / 429 ] 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 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 165 / 429 ] 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 1)) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 166 / 429 ] 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 2) to (λ (x) (* 2 (atan (sqrt (/ (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 167 / 429 ] 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))) 1) (sqrt (+ x 1))))))) * * * * [misc]progress: [ 168 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (/ (sqrt (+ 1 x)) (cbrt (/ (- 1 x) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 169 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 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 (/ (- 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) (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 170 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 171 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 172 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (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 (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 173 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 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))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 174 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (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 (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 175 / 429 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 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))) (/ (sqrt (+ 1 x)) (/ (cbrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 176 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (+ 1 x)) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 177 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 178 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 179 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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) * * [misc]simplify: iters left: 2 (13 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)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 180 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 181 / 429 ] 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)) (/ (sqrt (- 1 x)) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 182 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (- 1 x) (cbrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 183 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (cbrt (+ 1 x)))))))))) * * * * [misc]progress: [ 184 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 185 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ 1 (/ (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 186 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (/ (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (sqrt (+ 1 x)))))))))) * * * * [misc]progress: [ 187 / 429 ] 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 (/ (sqrt (+ 1 x)) (/ (- 1 x) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 188 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 189 / 429 ] 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) (/ (sqrt (+ 1 x)) (/ 1 (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 190 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (+ (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 (/ (- 1 x) (sqrt (fma (* x x) x 1))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (fma (* x x) x 1))) (/ (sqrt (+ 1 x)) (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))))))))) * * * * [misc]progress: [ 191 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (- (* 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 (/ (- 1 x) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))))))) * * * * [misc]progress: [ 192 / 429 ] 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 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (95 enodes) * [exit]simplify: Simplified to (sqrt (fma x x (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (fma x x (- 1 x)))))))) * * * * [misc]progress: [ 193 / 429 ] 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 2) to (λ (x) (* 2 (atan (sqrt (* (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x))))))) * * * * [misc]progress: [ 194 / 429 ] 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) (* (sqrt (+ 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 195 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 196 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 197 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 198 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (log (- 1 x)) (log (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * [exit]simplify: Simplified to (- (log (- 1 x)) (log (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (exp (- (log (- 1 x)) (log (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 199 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 200 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 201 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (sqrt (+ 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (77 enodes) * * [misc]simplify: iters left: 3 (192 enodes) * [exit]simplify: Simplified to (* (/ (- 1 x) (+ x 1)) (/ (* (- 1 x) (- 1 x)) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (cbrt (* (/ (- 1 x) (+ x 1)) (/ (* (- 1 x) (- 1 x)) (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 202 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 203 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 204 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 205 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 206 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (- (/ 1 (sqrt (+ x 1))) (/ x (sqrt (+ 1 x)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 207 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (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 (- 1 x)) (cbrt (sqrt (+ x 1))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 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 (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 208 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (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)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (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)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (cbrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 209 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (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 (/ (* (cbrt (- 1 x)) (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)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 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)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 210 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (36 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 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))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 211 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (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 (/ (* (cbrt (- 1 x)) (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)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 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)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (/ (cbrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 212 / 429 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (cbrt (- 1 x)) (sqrt (+ 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))) (/ (cbrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 213 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 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 (/ (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 214 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (cbrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 215 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 216 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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) * * [misc]simplify: iters left: 2 (13 enodes) * [exit]simplify: Simplified to (sqrt (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (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 2) to (λ (x) (* 2 (atan (sqrt (/ (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 217 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (sqrt (- 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 (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 218 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (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 2) to (λ (x) (* 2 (atan (sqrt (/ (* (sqrt (- 1 x)) (/ (sqrt (- 1 x)) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 219 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1)))) (/ (- 1 x) (cbrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (cbrt (sqrt (+ 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 (/ (- 1 x) (cbrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (/ (- 1 x) (cbrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 220 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (/ 1 (fabs (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (- 1 x) (sqrt (cbrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (cbrt (+ 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 (/ (- 1 x) (sqrt (cbrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (fabs (cbrt (+ x 1)))) (/ (- 1 x) (sqrt (cbrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 221 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (- 1 x) (sqrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (- 1 x) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 222 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt 1)) * * [misc]simplify: iters left: 3 (3 enodes) * * [misc]simplify: iters left: 2 (5 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* 1 (/ (- 1 x) (sqrt (+ 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 2) to (λ (x) (* 2 (atan (sqrt (/ (* 1 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 223 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (6 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to (/ 1 (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (sqrt (sqrt (+ x 1)))) (/ (- 1 x) (sqrt (sqrt (+ 1 x))))) (sqrt (+ 1 x))))))) * [enter]simplify: Simplifying (/ (- 1 x) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1 1 2) to (λ (x) (* 2 (atan (sqrt (/ (* (/ 1 (sqrt (sqrt (+ 1 x)))) (/ (- 1 x) (sqrt (sqrt (+ x 1))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 224 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (* 1 (/ (- 1 x) (sqrt (+ 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 2) to (λ (x) (* 2 (atan (sqrt (/ (* 1 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 225 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 226 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 227 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 228 / 429 ] 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 (/ (/ (/ (- 1 x) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (cbrt (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 229 / 429 ] 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 (/ (/ (/ (- 1 x) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (cbrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 230 / 429 ] 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 (/ (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 231 / 429 ] 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 (/ (/ (/ (- 1 x) (sqrt 1)) (sqrt (+ x 1))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 232 / 429 ] 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 (/ (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ x 1)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 233 / 429 ] 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 (/ (/ (/ (- 1 x) 1) (sqrt (+ x 1))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 234 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (/ (sqrt (+ 1 x)) (cbrt (- 1 x)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 235 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (/ (sqrt (- 1 x)) (/ (sqrt (+ 1 x)) (sqrt (- 1 x)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 236 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 237 / 429 ] 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 (51 enodes) * * [misc]simplify: iters left: 2 (68 enodes) * * [misc]simplify: iters left: 1 (95 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 (/ (* (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (fma x x (- 1 x)))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 238 / 429 ] 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 (/ (* (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (- 1 x))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 239 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (/ (fma (- x) (* x x) 1) (* (sqrt (+ 1 x)) (+ (* 1 1) (+ (* x x) (* 1 x))))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 240 / 429 ] 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) to (λ (x) (* 2 (atan (sqrt (/ (/ (- 1 (* x x)) (* (sqrt (+ 1 x)) (+ 1 x))) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 241 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 242 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 243 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 244 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 245 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 246 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 247 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 248 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 249 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (cbrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) (cbrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 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) (sqrt (+ 1 x))) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 250 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (36 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) (sqrt (+ 1 x))) (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 251 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (47 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 252 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1)))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 253 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 254 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * * [misc]simplify: iters left: 1 (37 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 255 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (/ (cbrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 256 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (* (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (/ (- 1 x) (sqrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (34 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (fabs (cbrt (/ (- 1 x) (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (cbrt (/ (- 1 x) (sqrt (+ x 1))))) (sqrt (/ (cbrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 257 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 258 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 259 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 260 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 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)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 261 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 262 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (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)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 263 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (88 enodes) * * [misc]simplify: iters left: 2 (117 enodes) * * [misc]simplify: iters left: 1 (119 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 264 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 265 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 266 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (259 enodes) * * [misc]simplify: iters left: 1 (328 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 267 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (112 enodes) * * [misc]simplify: iters left: 1 (130 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 268 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (84 enodes) * * [misc]simplify: iters left: 2 (257 enodes) * * [misc]simplify: iters left: 1 (356 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 269 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (134 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 270 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (41 enodes) * * [misc]simplify: iters left: 2 (52 enodes) * * [misc]simplify: iters left: 1 (55 enodes) * [exit]simplify: Simplified to (sqrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (* (/ (cbrt (- 1 x)) (cbrt (+ x 1))) (/ (cbrt (- 1 x)) (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 271 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 272 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (50 enodes) * * [misc]simplify: iters left: 2 (98 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 273 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 274 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (111 enodes) * * [misc]simplify: iters left: 1 (115 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 275 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 276 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 277 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 278 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 279 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 280 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 281 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (325 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 282 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (103 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 283 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 284 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 285 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (49 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (123 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 286 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt 1)) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * * [misc]simplify: iters left: 1 (28 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 287 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (74 enodes) * * [misc]simplify: iters left: 2 (116 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 288 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (47 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (fabs (cbrt (+ x 1))) (sqrt (sqrt (+ x 1)))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 289 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 290 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (140 enodes) * * [misc]simplify: iters left: 1 (144 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 291 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (38 enodes) * * [misc]simplify: iters left: 1 (39 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 292 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (131 enodes) * * [misc]simplify: iters left: 1 (136 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 293 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (90 enodes) * * [misc]simplify: iters left: 2 (215 enodes) * * [misc]simplify: iters left: 1 (251 enodes) * [exit]simplify: Simplified to (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (fabs (/ (cbrt (- 1 x)) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 294 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (77 enodes) * * [misc]simplify: iters left: 1 (80 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 295 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 296 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (30 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 297 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (34 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (107 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (cbrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 298 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) 1) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (59 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 299 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 300 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (30 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (39 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (fabs (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (fabs (cbrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 301 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 302 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 303 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (30 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 304 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 305 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (36 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 306 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (20 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)) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 307 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 308 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 309 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 310 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 311 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 312 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 313 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 314 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 315 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 316 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 317 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 318 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 319 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 320 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 321 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 322 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt 1)) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 323 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (28 enodes) * * [misc]simplify: iters left: 3 (33 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 324 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 325 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 326 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (27 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 327 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (19 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 328 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 329 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (29 enodes) * * [misc]simplify: iters left: 3 (38 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 330 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 331 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 332 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) (sqrt 1))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (15 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)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 333 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * [exit]simplify: Simplified to (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 334 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (sqrt (- 1 x)) 1) 1)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * [exit]simplify: Simplified to (sqrt (sqrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (sqrt (- 1 x))) (sqrt (/ (/ (sqrt (- 1 x)) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 335 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (24 enodes) * * [misc]simplify: iters left: 3 (26 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (sqrt (+ x 1))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 336 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 337 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 338 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 339 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (31 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (* (sqrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 340 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (21 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (cbrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 341 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (26 enodes) * * [misc]simplify: iters left: 3 (31 enodes) * * [misc]simplify: iters left: 2 (32 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 342 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 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) (sqrt (cbrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 343 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 344 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt 1))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 345 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 346 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x))))) 1)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (cbrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 347 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 348 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 349 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 350 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 351 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 352 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 353 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (22 enodes) * * [misc]simplify: iters left: 3 (35 enodes) * * [misc]simplify: iters left: 2 (37 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 354 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (18 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 355 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 356 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) (sqrt 1))) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 357 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 358 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt 1)) 1)) * * [misc]simplify: iters left: 6 (5 enodes) * * [misc]simplify: iters left: 5 (9 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 359 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (28 enodes) * * [misc]simplify: iters left: 2 (29 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (sqrt (sqrt (+ x 1)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 360 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (17 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (fabs (cbrt (+ x 1)))) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 361 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 362 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (20 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 363 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 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 (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 364 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 (sqrt (sqrt (+ 1 x)))) 1)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * * [misc]simplify: iters left: 4 (16 enodes) * * [misc]simplify: iters left: 3 (19 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 365 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ 1 x)))) (cbrt (sqrt (+ 1 x))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 366 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fabs (cbrt (+ 1 x))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 367 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 368 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt 1))) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (7 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 369 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (11 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 370 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ 1 1) 1)) * * [misc]simplify: iters left: 5 (4 enodes) * * [misc]simplify: iters left: 4 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 371 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (13 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ 1 (cbrt (sqrt (+ x 1)))) (cbrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 372 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (12 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (fabs (cbrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 373 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 374 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt 1))) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (6 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 375 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ 1 (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (10 enodes) * [exit]simplify: Simplified to (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ 1 (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 376 / 429 ] 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 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 377 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (34 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (/ 1 (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 378 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 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 (sqrt (/ (- 1 x) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (fabs (cbrt (+ x 1))))) (sqrt (/ (/ 1 (sqrt (+ 1 x))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 379 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (sqrt (+ 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) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 380 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt 1))) * * [misc]simplify: iters left: 5 (6 enodes) * * [misc]simplify: iters left: 4 (13 enodes) * * [misc]simplify: iters left: 3 (14 enodes) * * [misc]simplify: iters left: 2 (16 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 (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 381 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (sqrt (+ 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) (sqrt (sqrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (sqrt (+ x 1))))) (sqrt (/ (/ 1 (sqrt (+ 1 x))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 382 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) 1)) * * [misc]simplify: iters left: 5 (5 enodes) * * [misc]simplify: iters left: 4 (12 enodes) * * [misc]simplify: iters left: 3 (17 enodes) * * [misc]simplify: iters left: 2 (19 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 (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 383 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (53 enodes) * * [misc]simplify: iters left: 3 (79 enodes) * * [misc]simplify: iters left: 2 (100 enodes) * * [misc]simplify: iters left: 1 (107 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (fma x (* x x) 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (fma x (* x x) 1))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 384 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (32 enodes) * * [misc]simplify: iters left: 4 (46 enodes) * * [misc]simplify: iters left: 3 (55 enodes) * * [misc]simplify: iters left: 2 (61 enodes) * * [misc]simplify: iters left: 1 (63 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (fma x (* x x) 1))) (fabs (cbrt (+ x 1))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (fma x (* x x) 1))) (fabs (cbrt (+ x 1))))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 385 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1)))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 386 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (39 enodes) * * [misc]simplify: iters left: 3 (46 enodes) * * [misc]simplify: iters left: 2 (54 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (fma (* x x) x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (fma (* x x) x 1)))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 387 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (30 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (53 enodes) * * [misc]simplify: iters left: 2 (59 enodes) * * [misc]simplify: iters left: 1 (61 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (fma (* x x) x 1)))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 388 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ (pow 1 3) (pow x 3)))) 1)) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (38 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (fma x (* x x) 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (fma x (* x x) 1)))) (sqrt (/ (sqrt (+ (* 1 1) (- (* x x) (* 1 x)))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 389 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (* (cbrt (sqrt (+ 1 x))) (cbrt (sqrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (78 enodes) * * [misc]simplify: iters left: 2 (99 enodes) * * [misc]simplify: iters left: 1 (105 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (- 1 (* x x)))) (* (cbrt (sqrt (+ x 1))) (cbrt (sqrt (+ x 1)))))) (sqrt (/ (sqrt (- 1 x)) (cbrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 390 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (* (cbrt (+ 1 x)) (cbrt (+ 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (28 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (54 enodes) * * [misc]simplify: iters left: 2 (60 enodes) * * [misc]simplify: iters left: 1 (62 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (* (fabs (cbrt (+ x 1))) (sqrt (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (* (fabs (cbrt (+ x 1))) (sqrt (- 1 (* x x)))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (cbrt (+ 1 x))))))))) * * * * [misc]progress: [ 391 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 392 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt 1))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (36 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (55 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (- 1 (* x x))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 393 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (sqrt (sqrt (+ 1 x))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (sqrt (+ x 1)))) (sqrt (- 1 (* x x))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x))))))))) * * * * [misc]progress: [ 394 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) 1)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (35 enodes) * * [misc]simplify: iters left: 3 (44 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (sqrt (/ (- 1 x) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (- 1 (* x x))))) (sqrt (/ (sqrt (- 1 x)) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 395 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt 1) * * [misc]simplify: iters left: 1 (2 enodes) * [exit]simplify: Simplified to 1 * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* 1 (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 396 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (/ 1 (sqrt (+ 1 x)))))))) * * * * [misc]progress: [ 397 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ (pow 1 3) (pow x 3))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (52 enodes) * * [misc]simplify: iters left: 2 (58 enodes) * * [misc]simplify: iters left: 1 (60 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (fma x (* x x) 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (fma x (* x x) 1)))) (sqrt (sqrt (+ (* 1 1) (- (* x x) (* 1 x))))))))) * * * * [misc]progress: [ 398 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (51 enodes) * * [misc]simplify: iters left: 2 (57 enodes) * * [misc]simplify: iters left: 1 (59 enodes) * [exit]simplify: Simplified to (sqrt (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (* (sqrt (/ (/ (- 1 x) (sqrt (+ x 1))) (sqrt (- 1 (* x x))))) (sqrt (sqrt (- 1 x))))))) * * * * [misc]progress: [ 399 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (- 1 x) (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 400 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 401 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (/ (/ (- 1 x) (sqrt (+ 1 x))) (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (18 enodes) * * [misc]simplify: iters left: 4 (27 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (35 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: [ 402 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 403 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (/ (- 1 x) (sqrt (+ 1 x)))) (sqrt (sqrt (+ 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 (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (fabs (/ (sqrt (/ (- 1 x) (sqrt (+ x 1)))) (sqrt (sqrt (+ x 1)))))))) * * * * [misc]progress: [ 404 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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: [ 405 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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: [ 406 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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: [ 407 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (/ (sqrt (- 1 x)) (sqrt (sqrt (+ 1 x)))) (sqrt (sqrt (+ 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 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: [ 408 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 409 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 410 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 411 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 412 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 413 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 414 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 415 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 416 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 417 / 429 ] simplifiying candidate # * * * * [misc]progress: [ 418 / 429 ] 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 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (fma x 2 -2) x 1) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt (fma (fma x 2 -2) x 1))))) * * * * [misc]progress: [ 419 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt +nan.0)))) * * * * [misc]progress: [ 420 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (atan (sqrt +nan.0)))) * * * * [misc]progress: [ 421 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* 7/8 (pow x 2)) 1) (* 3/2 x)) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (65 enodes) * * [misc]simplify: iters left: 2 (88 enodes) * * [misc]simplify: iters left: 1 (108 enodes) * [exit]simplify: Simplified to (fma x (fma 7/8 x -3/2) 1) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ (fma x (fma 7/8 x -3/2) 1) (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 422 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ +nan.0 (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 423 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 x) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1 1 1) to (λ (x) (* 2 (atan (sqrt (/ +nan.0 (sqrt (+ 1 x))))))) * * * * [misc]progress: [ 424 / 429 ] 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 (63 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: [ 425 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan +nan.0))) * * * * [misc]progress: [ 426 / 429 ] simplifiying candidate # * [enter]simplify: Simplifying (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan +nan.0))) * * * * [misc]progress: [ 427 / 429 ] 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: [ 428 / 429 ] 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: [ 429 / 429 ] 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 4 / 4 * * * [misc]progress: picking best candidate * * * * [misc]pick: Picked # * * * [misc]progress: localizing error * * * [misc]progress: generating rewritten candidates * * * * [misc]progress: [ 1 / 4 ] rewriting at (2 2 1) * * * * [misc]progress: [ 2 / 4 ] rewriting at (2 2) * * * * [misc]progress: [ 3 / 4 ] rewriting at (2 2 1 2 1 1) * * * * [misc]progress: [ 4 / 4 ] rewriting at (2 2 1 1 2 1 1) * * * [misc]progress: generating series expansions * * * * [misc]progress: [ 1 / 4 ] generating series at (2 2 1) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]backup-simplify: Simplify (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) * [misc]backup-simplify: Simplify (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)) * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 x) 2))))) (- 1 (/ 1 (/ 1 x))))) (pow (atan (* (- 1 (/ 1 (/ 1 x))) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 x) 2))))))) 2)) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]approximate: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) * [misc]backup-simplify: Simplify (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (atan (* (+ (/ 1 (/ 1 (- x))) 1) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 (- x)) 2))))))) 3) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * * * * [misc]progress: [ 2 / 4 ] generating series at (2 2) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)) into (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))) into (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) into (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) * [misc]backup-simplify: Simplify (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))) into (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)) into (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))) into (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) * [misc]backup-simplify: Simplify (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)))) into (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into (pow (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x)))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))))) into (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) * [misc]backup-simplify: Simplify (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))) into (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) * [misc]backup-simplify: Simplify (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2))) * [misc]backup-simplify: Simplify (* 1/3 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)))) into (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into (pow (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)) 1/3) * [misc]backup-simplify: Simplify (pow (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)) 1/3) into (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (* (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) (pow (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2)))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))) (- 1 (/ 1 x)))) 2) (atan (* (- 1 (/ 1 x)) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (* (pow (atan (* (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 x) 2))))) (- 1 (/ 1 (/ 1 x))))) 2) (atan (* (- 1 (/ 1 (/ 1 x))) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 x) 2)))))))) 1/3) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * [misc]approximate: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)) into (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))) into (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) into (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1/3) * [misc]taylor: Taking taylor expansion of (cbrt (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))) in x * [misc]taylor: Rewrote expression to (pow (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) 1/3) * [misc]taylor: Taking taylor expansion of (exp (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))))) in x * [misc]taylor: Taking taylor expansion of (* 1/3 (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))))) in x * [misc]taylor: Taking taylor expansion of 1/3 in x * [misc]backup-simplify: Simplify 1/3 into 1/3 * [misc]taylor: Taking taylor expansion of (log (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))))) in x * [misc]taylor: Taking taylor expansion of (* (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (* (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x))))))) in x * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]taylor: Taking taylor expansion of (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) in x * [misc]backup-simplify: Simplify (atan (sqrt (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))))) into (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) * [misc]backup-simplify: Simplify (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) * [misc]backup-simplify: Simplify (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))) into (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) * [misc]backup-simplify: Simplify (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)) into (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)) * [misc]backup-simplify: Simplify (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))) into (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))) * [misc]backup-simplify: Simplify (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) into (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1/3) * [misc]backup-simplify: Simplify (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1/3) into (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1/3) * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 1) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 2) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 6) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -6 (/ (* (pow (* 1 0) 4)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 4))) (* 12 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* -3 (/ (* 1 (pow (* 2 0) 2)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* -4 (/ (* (pow (* 1 0) 1) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* 1 (/ (* 1 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 24) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 4) 24)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* 24 (/ (* (pow (* 1 0) 5)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 5))) (* -60 (/ (* (pow (* 1 0) 3) (pow (* 2 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 4))) (* 30 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 2)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* 20 (/ (* (pow (* 1 0) 2) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* -10 (/ (* 1 (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* -5 (/ (* (pow (* 1 0) 1) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 120) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 5) 120)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (+ (* (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify (+ (* (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 2) 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2)))))))))))))) into 0 * [misc]backup-simplify: Simplify (/ (+ (* -120 (/ (* (pow (* 1 0) 6)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 6))) (* 360 (/ (* (pow (* 1 0) 4) (pow (* 2 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 5))) (* -270 (/ (* (pow (* 1 0) 2) (pow (* 2 0) 2)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 4))) (* -120 (/ (* (pow (* 1 0) 3) 1 (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 4))) (* 30 (/ (* 1 (pow (* 2 0) 3)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* 120 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1) (pow (* 6 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* 30 (/ (* (pow (* 1 0) 2) 1 1 (pow (* 24 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 3))) (* -10 (/ (* 1 1 (pow (* 6 0) 2)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* -15 (/ (* 1 (pow (* 2 0) 1) 1 (pow (* 24 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* -6 (/ (* (pow (* 1 0) 1) 1 1 1 (pow (* 120 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 2))) (* 1 (/ (* 1 1 1 1 1 (pow (* 720 0) 1)) (pow (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3) 1)))) 720) into 0 * [misc]backup-simplify: Simplify (+ (* 1/3 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3))))))))) into 0 * [misc]backup-simplify: Simplify (* (exp (* 1/3 (log (pow (atan (* (+ (/ 1 x) 1) (sqrt (/ 1 (- 1 (/ 1 (pow x 2))))))) 3)))) (+ (* (/ (pow 0 6) 720)) (* (/ (pow 0 4) 24) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2) (/ (pow 0 2) 2)) (* (/ (pow 0 2) 2) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify (pow (pow (atan (* (+ (/ 1 (/ 1 (- x))) 1) (sqrt (/ 1 (- 1 (/ 1 (pow (/ 1 (- x)) 2))))))) 3) 1/3) into (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * * * * [misc]progress: [ 3 / 4 ] generating series at (2 2 1 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1 1)) (* -1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -1) (* 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) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 (* 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 (- 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* -1 -1)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)) (* -1 (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (* 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) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (* -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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 1 -1)) (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -1 1) (* -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: [ 4 / 4 ] generating series at (2 2 1 1 2 1 1) * [misc]approximate: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 x) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 x) (- (* 1 1) (* x 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 1) (* x x)) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* x x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (* 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (/ 1 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 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 (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (+ (* 0 1) (* 1 0)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ -1 1) (+ (* 1 (/ 0 1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 -1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (+ (* 0 0) (+ (* 1 1) (* 0 0))) into 1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (+ 0 -1) into -1 * [misc]backup-simplify: Simplify (- (/ 0 1) (+ (* 1 (/ -1 1)) (* -1 (/ 0 1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 -1) (* 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) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ -1 -1) into 1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 1 x)))) (- 1 (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 x)) (- (* 1 1) (* (/ 1 x) (/ 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) (* (/ 1 x) (/ 1 x))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 x) (/ 1 x)) in x * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]taylor: Taking taylor expansion of (/ 1 x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (/ 1 1) into 1 * [misc]backup-simplify: Simplify (- 1) 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 -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 (* 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 (- 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 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (* 0 1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* 1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* 1 1) (* -1 -1)) into 2 * [misc]backup-simplify: Simplify 2 into 2 * [misc]backup-simplify: Simplify (- (+ (* 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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 1) into 1 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* 0 0) (* 0 1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* 1 (/ 1 -1)) (* -1 (/ 0 -1)))) into 1 * [misc]backup-simplify: Simplify (+ (* 1 0) (+ (* -1 1) (* 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) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in (x) around 0 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (- 1 (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (* (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 1 (- x))))) (- 1 (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (/ (- 1 (/ 1 (- x))) (- (* 1 1) (* (/ 1 (- x)) (/ 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) (* (/ 1 (- x)) (/ 1 (- x)))) in x * [misc]taylor: Taking taylor expansion of (* 1 1) in x * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of 1 in x * [misc]backup-simplify: Simplify 1 into 1 * [misc]taylor: Taking taylor expansion of (* (/ 1 (- x)) (/ 1 (- x))) in x * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]taylor: Taking taylor expansion of (/ 1 (- x)) in x * [misc]taylor: Taking taylor expansion of (- x) in x * [misc]taylor: Taking taylor expansion of x in x * [misc]backup-simplify: Simplify 0 into 0 * [misc]backup-simplify: Simplify 1 into 1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (/ 1 -1) into -1 * [misc]backup-simplify: Simplify (- -1) 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 -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 (* -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 (- 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 (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (* 0 -1)) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (- (/ 1 -1) (+ (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 1) (* -1 1)) into -2 * [misc]backup-simplify: Simplify -2 into -2 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-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) into 0 * [misc]backup-simplify: Simplify (+ 0 0) into 0 * [misc]backup-simplify: Simplify (* 1 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)))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (- 1) into -1 * [misc]backup-simplify: Simplify (- (+ (* -1 (/ 0 -1)) (* 0 (/ 0 -1)))) into 0 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 -1))) into 0 * [misc]backup-simplify: Simplify (- 0) into 0 * [misc]backup-simplify: Simplify (+ 1 0) into 1 * [misc]backup-simplify: Simplify (- (/ 0 -1) (+ (* -1 (/ 1 -1)) (* -1 (/ 0 -1)))) into -1 * [misc]backup-simplify: Simplify (+ (* -1 0) (+ (* -1 1) (* -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: simplifying candidates * * * * [misc]progress: [ 1 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 2 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 3 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to 3 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3)))) * * * * [misc]progress: [ 4 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ 2 1))))) * [enter]simplify: Simplifying (+ 2 1) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (7 enodes) * [exit]simplify: Simplified to 3 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3)))) * * * * [misc]progress: [ 5 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ (+ 1 1) 1))))) * [enter]simplify: Simplifying (+ (+ 1 1) 1) * * [misc]simplify: iters left: 4 (3 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * [exit]simplify: Simplified to 3 * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3)))) * * * * [misc]progress: [ 6 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 1)))) * * * * [misc]progress: [ 7 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (48 enodes) * * [misc]simplify: iters left: 3 (104 enodes) * * [misc]simplify: iters left: 2 (285 enodes) * [exit]simplify: Simplified to (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 1)))) * * * * [misc]progress: [ 8 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3)))) * * * * [misc]progress: [ 9 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 10 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ 2 1))))) * * * * [misc]progress: [ 11 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (+ (+ 1 1) 1))))) * * * * [misc]progress: [ 12 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 13 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (+ (log (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (log (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (log (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * [misc]simplify: iters left: 6 (13 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (47 enodes) * * [misc]simplify: iters left: 3 (103 enodes) * * [misc]simplify: iters left: 2 (284 enodes) * [exit]simplify: Simplified to (+ (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (+ (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))))))) * * * * [misc]progress: [ 14 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (log (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (49 enodes) * * [misc]simplify: iters left: 3 (105 enodes) * * [misc]simplify: iters left: 2 (286 enodes) * [exit]simplify: Simplified to (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (exp (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (+ (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) (log (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))))))))) * * * * [misc]progress: [ 15 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 16 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 17 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (72 enodes) * * [misc]simplify: iters left: 3 (148 enodes) * * [misc]simplify: iters left: 2 (335 enodes) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (cbrt (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 3))))) * * * * [misc]progress: [ 18 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * [misc]simplify: iters left: 6 (15 enodes) * * [misc]simplify: iters left: 5 (39 enodes) * * [misc]simplify: iters left: 4 (86 enodes) * * [misc]simplify: iters left: 3 (152 enodes) * * [misc]simplify: iters left: 2 (338 enodes) * [exit]simplify: Simplified to (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 3) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (cbrt (pow (pow (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) 3) 3))))) * * * * [misc]progress: [ 19 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 20 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 21 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 22 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 23 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (cbrt (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (* (cbrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (cbrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))))) (cbrt (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 24 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (281 enodes) * [exit]simplify: Simplified to (sqrt (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (sqrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (sqrt (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 25 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 2) to (λ (x) (* 2 (cbrt (* (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) 1) (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))))) * * * * [misc]progress: [ 26 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (99 enodes) * * [misc]simplify: iters left: 2 (280 enodes) * [exit]simplify: Simplified to (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1) to (λ (x) (* 2 (cbrt (* (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))))))) * * * * [misc]progress: [ 27 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 28 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 29 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 30 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 31 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 32 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 33 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 34 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (cbrt (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (25 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (101 enodes) * * [misc]simplify: iters left: 2 (282 enodes) * [exit]simplify: Simplified to (cbrt (* (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (* (cbrt (* (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))) (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) (cbrt (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 35 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 36 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 37 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (42 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (279 enodes) * [exit]simplify: Simplified to (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))))))) * * * * [misc]progress: [ 38 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 39 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 40 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 41 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 42 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (pow (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) 1))))))) * * * * [misc]progress: [ 43 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 44 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- 1 x)) (log (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x))))))))))) * * * * [misc]progress: [ 45 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 1 x) (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x))))))))))) * * * * [misc]progress: [ 46 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 47 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 48 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3))))))))) * * * * [misc]progress: [ 49 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- 1 x) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3))))))))) * * * * [misc]progress: [ 50 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 51 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 52 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 53 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x))))))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (* (- 1 x) (- (pow 1 3) (pow x 3))) (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 54 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (- (- 1 x) (* (- 1 x) (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (- (- 1 x) (* (- 1 x) (* x x))) (* (- (* 1 1) (* x x)) (+ 1 x))))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (- x) (+ 1 x)) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (* (- 1 x) (- (* 1 1) (* x x))) (fma (fma x x x) (- x) (+ 1 x))))))))) * * * * [misc]progress: [ 55 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 56 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 57 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 58 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 59 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x)))))))))) * * * * [misc]progress: [ 60 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (- 1 x))))))))) * * * * [misc]progress: [ 61 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (sqrt (- 1 x))) (sqrt (- 1 x))))))))) * * * * [misc]progress: [ 62 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (- 1 x)))))))) * * * * [misc]progress: [ 63 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (cbrt (/ (- 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 64 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (* (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 65 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (* (/ (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 66 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x 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 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) (* (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 67 / 141 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (/ (cbrt (- 1 x)) (- (* 1 1) (* x x))) (- 1 x))))))))) * * * * [misc]progress: [ 68 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) (* (/ (cbrt (- 1 x)) (- 1 x)) (- 1 x))))))))) * * * * [misc]progress: [ 69 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (sqrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 70 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (* (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 71 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (sqrt (- 1 x)) (* (/ (sqrt (- 1 x)) (- (* 1 1) (* x x))) (- 1 x))))))))) * * * * [misc]progress: [ 72 / 141 ] simplifiying candidate # * [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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (sqrt (- 1 x)) (+ x 1)) (* (/ (sqrt (- 1 x)) (- 1 x)) (- 1 x))))))))) * * * * [misc]progress: [ 73 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (- 1 x) (cbrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 74 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* 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 (/ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ 1 (sqrt (- 1 (* x x)))) (* (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 75 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* 1 (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))))))) * * * * [misc]progress: [ 76 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ 1 (+ x 1)) (* (/ (- 1 x) (- 1 x)) (- 1 x))))))))) * * * * [misc]progress: [ 77 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 78 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (- 1 x) (* (/ 1 (- (* 1 1) (* x x))) (- 1 x))))))))) * * * * [misc]progress: [ 79 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (pow (* 1 1) 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 6))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 6))) (* (+ (* (* 1 1) (* 1 1)) (+ (* (* x x) (* x x)) (* (* 1 1) (* x x)))) (- 1 x))))))))) * * * * [misc]progress: [ 80 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* (* 1 1) (* 1 1)) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 4))) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 4))) (* (+ (* 1 1) (* x x)) (- 1 x))))))))) * * * * [misc]progress: [ 81 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (fma x (+ 1 x) 1) * [misc]simplify: Simplified (2 2 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (pow 1 3) (pow x 3))) (fma x (+ 1 x) 1)))))))) * * * * [misc]progress: [ 82 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (* 1 1) (* x x))) (+ x 1)))))))) * * * * [misc]progress: [ 83 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- (* 1 1) (* x x))))))))) * * * * [misc]progress: [ 84 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 85 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 86 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 87 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (21 enodes) * * [misc]simplify: iters left: 4 (41 enodes) * * [misc]simplify: iters left: 3 (97 enodes) * * [misc]simplify: iters left: 2 (278 enodes) * [exit]simplify: Simplified to (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (pow (/ (* (- 1 x) (- 1 x)) (- 1 (* x x))) 1)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 88 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 89 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (- (log (- 1 x)) (log (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (22 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (45 enodes) * * [misc]simplify: iters left: 2 (50 enodes) * * [misc]simplify: iters left: 1 (58 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 90 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (log (/ (- 1 x) (- (* 1 1) (* x x)))) (log (- 1 x))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (48 enodes) * * [misc]simplify: iters left: 2 (53 enodes) * * [misc]simplify: iters left: 1 (54 enodes) * [exit]simplify: Simplified to (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (exp (- (+ (log (- 1 x)) (log (- 1 x))) (log (- 1 (* x x)))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 91 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 92 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 93 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (* (* (- 1 x) (- 1 x)) (- 1 x)) (* (* (- (* 1 1) (* x x)) (- (* 1 1) (* x x))) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (33 enodes) * * [misc]simplify: iters left: 4 (138 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 94 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- 1 x) (- (* 1 1) (* x x)))) (* (* (- 1 x) (- 1 x)) (- 1 x))) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (35 enodes) * * [misc]simplify: iters left: 4 (124 enodes) * * [misc]simplify: iters left: 3 (479 enodes) * [exit]simplify: Simplified to (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (cbrt (/ (* (pow (- 1 x) 3) (pow (- 1 x) 3)) (pow (- 1 (* x x)) 3)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 95 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 96 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 97 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 98 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (pow 1 3) (pow x 3))) * * [misc]simplify: iters left: 5 (8 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (39 enodes) * * [misc]simplify: iters left: 2 (97 enodes) * * [misc]simplify: iters left: 1 (323 enodes) * [exit]simplify: Simplified to (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (fma (- x) (fma (* x x) (- x) 1) (fma (* x x) (- x) 1)) (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x)))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ (* 1 1) (+ (* x x) (* 1 x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (27 enodes) * * [misc]simplify: iters left: 4 (73 enodes) * * [misc]simplify: iters left: 3 (226 enodes) * [exit]simplify: Simplified to (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (* (- 1 x) (- (pow 1 3) (pow x 3))) (fma (- 1 (* x x)) (fma x x x) (- 1 (* x x))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 99 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- (* 1 1) (* x x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (31 enodes) * * [misc]simplify: iters left: 3 (77 enodes) * * [misc]simplify: iters left: 2 (253 enodes) * [exit]simplify: Simplified to (- (- 1 x) (* (- 1 x) (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (- (- 1 x) (* (- 1 x) (* x x))) (* (- (* 1 1) (* x x)) (+ 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * [enter]simplify: Simplifying (* (- (* 1 1) (* x x)) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (20 enodes) * * [misc]simplify: iters left: 4 (44 enodes) * * [misc]simplify: iters left: 3 (100 enodes) * * [misc]simplify: iters left: 2 (313 enodes) * [exit]simplify: Simplified to (fma (fma x x x) (- x) (+ 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (* (- 1 x) (- (* 1 1) (* x x))) (fma (fma x x x) (- x) (+ 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 100 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 101 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 102 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (/ (- 1 x) (- (* 1 1) (* x x))) (- x)) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (81 enodes) * * [misc]simplify: iters left: 2 (173 enodes) * * [misc]simplify: iters left: 1 (365 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (+ (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (/ (- (* x x) x) (- 1 (* x x))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 103 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 104 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- x) (/ (- 1 x) (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (45 enodes) * * [misc]simplify: iters left: 3 (98 enodes) * * [misc]simplify: iters left: 2 (177 enodes) * * [misc]simplify: iters left: 1 (343 enodes) * [exit]simplify: Simplified to (/ (- (* x x) x) (- 1 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (+ (* 1 (/ (- 1 x) (- (* 1 1) (* x x)))) (/ (- (* x x) x) (- 1 (* x x))))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 105 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (* (cbrt (- 1 x)) (cbrt (- 1 x)))) (cbrt (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 106 / 141 ] 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 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) (sqrt (- 1 x))) (sqrt (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 107 / 141 ] 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 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (/ (- 1 x) (- (* 1 1) (* x x))) 1) (- 1 x))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 108 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (cbrt (/ (- 1 x) (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (25 enodes) * * [misc]simplify: iters left: 3 (29 enodes) * [exit]simplify: Simplified to (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (cbrt (/ (- 1 x) (- 1 (* x x)))) (cbrt (/ (- 1 x) (- 1 (* x x))))) (* (cbrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 109 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (sqrt (/ (- 1 x) (- 1 (* x x)))) (* (sqrt (/ (- 1 x) (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 110 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (11 enodes) * * [misc]simplify: iters left: 5 (24 enodes) * * [misc]simplify: iters left: 4 (37 enodes) * * [misc]simplify: iters left: 3 (42 enodes) * * [misc]simplify: iters left: 2 (45 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x)))) (/ (cbrt (- 1 x)) (cbrt (- 1 (* x x))))) (* (/ (cbrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 111 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- (* 1 1) (* x 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 (28 enodes) * [exit]simplify: Simplified to (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (sqrt (- 1 (* x x)))) (* (/ (cbrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 112 / 141 ] 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 (21 enodes) * * [misc]simplify: iters left: 2 (26 enodes) * [exit]simplify: Simplified to (* (cbrt (- 1 x)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (cbrt (- 1 x)) (cbrt (- 1 x))) (* (/ (cbrt (- 1 x)) (- (* 1 1) (* x x))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 113 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (* (cbrt (- 1 x)) (cbrt (- 1 x))) (+ 1 x)) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (14 enodes) * * [misc]simplify: iters left: 4 (17 enodes) * * [misc]simplify: iters left: 3 (18 enodes) * [exit]simplify: Simplified to (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (* (/ (cbrt (- 1 x)) (+ x 1)) (cbrt (- 1 x))) (* (/ (cbrt (- 1 x)) (- 1 x)) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 114 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (19 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (25 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (sqrt (- 1 x)) (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (sqrt (- 1 x)) (cbrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 115 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (16 enodes) * * [misc]simplify: iters left: 4 (20 enodes) * * [misc]simplify: iters left: 3 (22 enodes) * [exit]simplify: Simplified to (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (sqrt (- 1 x)) (sqrt (- 1 (* x x)))) (* (/ (sqrt (- 1 x)) (sqrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 116 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (sqrt (- 1 x)) (* (/ (sqrt (- 1 x)) (- (* 1 1) (* x x))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 117 / 141 ] simplifiying candidate # * [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 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (sqrt (- 1 x)) (+ x 1)) (* (/ (sqrt (- 1 x)) (- 1 x)) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 118 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (* (cbrt (- (* 1 1) (* x x))) (cbrt (- (* 1 1) (* x x))))) * * [misc]simplify: iters left: 6 (8 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (19 enodes) * * [misc]simplify: iters left: 3 (21 enodes) * [exit]simplify: Simplified to (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ 1 (* (cbrt (- 1 (* x x))) (cbrt (- 1 (* x x))))) (* (/ (- 1 x) (cbrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 119 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ 1 (sqrt (- (* 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 (/ 1 (sqrt (- 1 (* x x)))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ 1 (sqrt (- 1 (* x x)))) (* (/ (- 1 x) (sqrt (- (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 120 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* 1 (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 121 / 141 ] 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 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ 1 (+ x 1)) (* (/ (- 1 x) (- 1 x)) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 122 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 123 / 141 ] 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 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (- 1 x) (* (/ 1 (- (* 1 1) (* x x))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 124 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (pow (* 1 1) 3) (pow (* x x) 3))) * * [misc]simplify: iters left: 6 (10 enodes) * * [misc]simplify: iters left: 5 (29 enodes) * * [misc]simplify: iters left: 4 (50 enodes) * * [misc]simplify: iters left: 3 (92 enodes) * * [misc]simplify: iters left: 2 (101 enodes) * * [misc]simplify: iters left: 1 (104 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 6))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 6))) (* (+ (* (* 1 1) (* 1 1)) (+ (* (* x x) (* x x)) (* (* 1 1) (* x x)))) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 125 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (/ (- 1 x) (- (* (* 1 1) (* 1 1)) (* (* x x) (* x x)))) * * [misc]simplify: iters left: 6 (9 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (40 enodes) * * [misc]simplify: iters left: 3 (63 enodes) * * [misc]simplify: iters left: 2 (67 enodes) * [exit]simplify: Simplified to (/ (- 1 x) (- 1 (pow x 4))) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- 1 (pow x 4))) (* (+ (* 1 1) (* x x)) (- 1 x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 126 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ (* 1 1) (+ (* x x) (* 1 x))) * * [misc]simplify: iters left: 6 (7 enodes) * * [misc]simplify: iters left: 5 (15 enodes) * * [misc]simplify: iters left: 4 (23 enodes) * * [misc]simplify: iters left: 3 (32 enodes) * * [misc]simplify: iters left: 2 (36 enodes) * * [misc]simplify: iters left: 1 (41 enodes) * [exit]simplify: Simplified to (fma x (+ 1 x) 1) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (pow 1 3) (pow x 3))) (fma x (+ 1 x) 1))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 127 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (+ 1 x) * * [misc]simplify: iters left: 2 (3 enodes) * * [misc]simplify: iters left: 1 (6 enodes) * [exit]simplify: Simplified to (+ x 1) * [misc]simplify: Simplified (2 2 1 1 2 1 1 2) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (* (/ (- 1 x) (- (* 1 1) (* x x))) (- (* 1 1) (* x x))) (+ x 1))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 128 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (* (- 1 x) (- 1 x)) * * [misc]simplify: iters left: 4 (4 enodes) * * [misc]simplify: iters left: 3 (8 enodes) * * [misc]simplify: iters left: 2 (15 enodes) * * [misc]simplify: iters left: 1 (34 enodes) * [exit]simplify: Simplified to (* (- 1 x) (- 1 x)) * [misc]simplify: Simplified (2 2 1 1 2 1 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (/ (* (- 1 x) (- 1 x)) (- (* 1 1) (* x x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 129 / 141 ] simplifiying candidate # * * * * [misc]progress: [ 130 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3)))) * * * * [misc]progress: [ 131 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3)))) * * * * [misc]progress: [ 132 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) * * [misc]simplify: iters left: 6 (12 enodes) * * [misc]simplify: iters left: 5 (23 enodes) * * [misc]simplify: iters left: 4 (33 enodes) * * [misc]simplify: iters left: 3 (57 enodes) * * [misc]simplify: iters left: 2 (94 enodes) * * [misc]simplify: iters left: 1 (137 enodes) * [exit]simplify: Simplified to (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3) * [misc]simplify: Simplified (2 2 1) to (λ (x) (* 2 (cbrt (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) 3)))) * * * * [misc]progress: [ 133 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))))) * * * * [misc]progress: [ 134 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))))) * * * * [misc]progress: [ 135 / 141 ] simplifiying candidate # * [enter]simplify: Simplifying (pow (pow (atan (* (- 1 x) (sqrt (/ 1 (- 1 (pow x 2)))))) 3) 1/3) * * [misc]simplify: iters left: 6 (14 enodes) * * [misc]simplify: iters left: 5 (26 enodes) * * [misc]simplify: iters left: 4 (43 enodes) * * [misc]simplify: iters left: 3 (75 enodes) * * [misc]simplify: iters left: 2 (115 enodes) * * [misc]simplify: iters left: 1 (150 enodes) * [exit]simplify: Simplified to (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))) * [misc]simplify: Simplified (2 2) to (λ (x) (* 2 (atan (* (- 1 x) (sqrt (/ 1 (- 1 (* x x)))))))) * * * * [misc]progress: [ 136 / 141 ] 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 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (fma x 2 -2) x 1) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (fma (fma x 2 -2) x 1))))))) * * * * [misc]progress: [ 137 / 141 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))))))) * * * * [misc]progress: [ 138 / 141 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x))))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x))))))))) * * * * [misc]progress: [ 139 / 141 ] 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 (39 enodes) * * [misc]simplify: iters left: 3 (62 enodes) * * [misc]simplify: iters left: 2 (92 enodes) * * [misc]simplify: iters left: 1 (111 enodes) * [exit]simplify: Simplified to (fma (fma x 2 -2) x 1) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (fma (fma x 2 -2) x 1)))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 140 / 141 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * * [misc]progress: [ 141 / 141 ] 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 (44 enodes) * * [misc]simplify: iters left: 3 (91 enodes) * * [misc]simplify: iters left: 2 (158 enodes) * * [misc]simplify: iters left: 1 (216 enodes) * [exit]simplify: Simplified to (- (- (/ 2 x) 1) (/ 2 (* x x))) * [misc]simplify: Simplified (2 2 1 1 2 1 1) to (λ (x) (* 2 (cbrt (* (* (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))) (atan (sqrt (- (- (/ 2 x) 1) (/ 2 (* x x)))))) (atan (sqrt (* (/ (- 1 x) (- (* 1 1) (* x x))) (- 1 x)))))))) * * * [misc]progress: adding candidates to table * [misc]progress: [Phase 3 of 3] Extracting. * * [misc]regime: Finding splitpoints for: (# # #) * * * [misc]regime-changes: Trying 1 branch expressions: (x) * * * * [misc]regimes: Trying to branch on x from (# # #) * * * [misc]regime: Found split indices: #