8.369 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.046 * * * [progress]: [2/2] Setting up program. 0.049 * [progress]: [Phase 2 of 3] Improving. 0.049 * [simplify]: Simplifying using # : (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.051 * * [simplify]: iteration 0 : 12 enodes (cost 7 ) 0.052 * * [simplify]: iteration 1 : 16 enodes (cost 7 ) 0.054 * * [simplify]: iteration 2 : 18 enodes (cost 7 ) 0.055 * * [simplify]: iteration 3 : 18 enodes (cost 7 ) 0.055 * [simplify]: Simplified to: (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) 0.055 * * [progress]: iteration 1 / 4 0.055 * * * [progress]: picking best candidate 0.057 * * * * [pick]: Picked # 0.057 * * * [progress]: localizing error 0.066 * * * [progress]: generating rewritten candidates 0.067 * * * * [progress]: [ 1 / 4 ] rewriting at (2 1 2) 0.070 * * * * [progress]: [ 2 / 4 ] rewriting at (2 1) 0.075 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1 2 1) 0.077 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 0.089 * * * [progress]: generating series expansions 0.089 * * * * [progress]: [ 1 / 4 ] generating series at (2 1 2) 0.090 * [approximate]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in (x) around 0 0.090 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.090 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.090 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.090 * [taylor]: Taking taylor expansion of 1.0 in x 0.090 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.090 * [taylor]: Taking taylor expansion of x in x 0.091 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.091 * [taylor]: Taking taylor expansion of x in x 0.092 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.092 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.092 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.092 * [taylor]: Taking taylor expansion of 1.0 in x 0.092 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.092 * [taylor]: Taking taylor expansion of x in x 0.093 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.093 * [taylor]: Taking taylor expansion of x in x 0.122 * [approximate]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in (x) around 0 0.122 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.122 * [taylor]: Taking taylor expansion of x in x 0.122 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.122 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.123 * [taylor]: Taking taylor expansion of 1.0 in x 0.123 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.123 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.123 * [taylor]: Taking taylor expansion of x in x 0.125 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.126 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.126 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.126 * [taylor]: Taking taylor expansion of 1.0 in x 0.126 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.126 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.126 * [taylor]: Taking taylor expansion of x in x 0.168 * [approximate]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in (x) around 0 0.168 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.168 * [taylor]: Taking taylor expansion of -1 in x 0.168 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.168 * [taylor]: Taking taylor expansion of x in x 0.168 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.168 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.168 * [taylor]: Taking taylor expansion of 1.0 in x 0.169 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.169 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.169 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (* -1 (* x (sqrt (- 1.0 (/ 1 (pow x 2)))))) in x 0.171 * [taylor]: Taking taylor expansion of -1 in x 0.171 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.171 * [taylor]: Taking taylor expansion of x in x 0.171 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.171 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.171 * [taylor]: Taking taylor expansion of 1.0 in x 0.172 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.172 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.172 * [taylor]: Taking taylor expansion of x in x 0.219 * * * * [progress]: [ 2 / 4 ] generating series at (2 1) 0.219 * [approximate]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in (x) around 0 0.219 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.219 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.219 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.219 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.219 * [taylor]: Taking taylor expansion of 1.0 in x 0.219 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.219 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.220 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.220 * [taylor]: Taking taylor expansion of 1.0 in x 0.220 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.220 * [taylor]: Taking taylor expansion of x in x 0.221 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.221 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.221 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.221 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.221 * [taylor]: Taking taylor expansion of 1.0 in x 0.221 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.221 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.222 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.222 * [taylor]: Taking taylor expansion of 1.0 in x 0.222 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.222 * [taylor]: Taking taylor expansion of x in x 0.268 * [approximate]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in (x) around 0 0.268 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.268 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.268 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.268 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.268 * [taylor]: Taking taylor expansion of 1.0 in x 0.268 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.268 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.268 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.271 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.271 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.271 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.271 * [taylor]: Taking taylor expansion of 1.0 in x 0.271 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.271 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.271 * [taylor]: Taking taylor expansion of x in x 0.274 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.274 * [taylor]: Taking taylor expansion of 1.0 in x 0.274 * [taylor]: Taking taylor expansion of x in x 0.292 * [approximate]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.292 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.292 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.292 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.292 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.292 * [taylor]: Taking taylor expansion of 1.0 in x 0.292 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.292 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.292 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.295 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.295 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.295 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.295 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.295 * [taylor]: Taking taylor expansion of 1.0 in x 0.295 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.295 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.295 * [taylor]: Taking taylor expansion of x in x 0.298 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.298 * [taylor]: Taking taylor expansion of 1.0 in x 0.298 * [taylor]: Taking taylor expansion of x in x 0.320 * * * * [progress]: [ 3 / 4 ] generating series at (2 1 2 1) 0.321 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 0.321 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.321 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.321 * [taylor]: Taking taylor expansion of 1.0 in x 0.321 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.321 * [taylor]: Taking taylor expansion of x in x 0.322 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.322 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.322 * [taylor]: Taking taylor expansion of 1.0 in x 0.322 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.322 * [taylor]: Taking taylor expansion of x in x 0.341 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.341 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.341 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.341 * [taylor]: Taking taylor expansion of 1.0 in x 0.341 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.341 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.341 * [taylor]: Taking taylor expansion of x in x 0.344 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.344 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.344 * [taylor]: Taking taylor expansion of 1.0 in x 0.344 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.344 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.344 * [taylor]: Taking taylor expansion of x in x 0.362 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 0.362 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.362 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.362 * [taylor]: Taking taylor expansion of 1.0 in x 0.362 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.362 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.362 * [taylor]: Taking taylor expansion of x in x 0.364 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.364 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.365 * [taylor]: Taking taylor expansion of 1.0 in x 0.365 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.365 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.365 * [taylor]: Taking taylor expansion of x in x 0.382 * * * * [progress]: [ 4 / 4 ] generating series at (2) 0.382 * [approximate]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in (x) around 0 0.383 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.383 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.383 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.383 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.383 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.383 * [taylor]: Taking taylor expansion of 1.0 in x 0.383 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.383 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.384 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.384 * [taylor]: Taking taylor expansion of 1.0 in x 0.384 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.384 * [taylor]: Taking taylor expansion of x in x 0.387 * [taylor]: Taking taylor expansion of (log (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x)))) in x 0.387 * [taylor]: Taking taylor expansion of (+ (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) (* 1.0 (/ 1 x))) in x 0.387 * [taylor]: Taking taylor expansion of (* (sqrt (- 1.0 (pow x 2))) (/ 1 x)) in x 0.387 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.387 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.387 * [taylor]: Taking taylor expansion of 1.0 in x 0.387 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.387 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.388 * [taylor]: Taking taylor expansion of x in x 0.388 * [taylor]: Taking taylor expansion of (* 1.0 (/ 1 x)) in x 0.388 * [taylor]: Taking taylor expansion of 1.0 in x 0.389 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.389 * [taylor]: Taking taylor expansion of x in x 0.506 * [approximate]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in (x) around 0 0.506 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.507 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.507 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.507 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.507 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.507 * [taylor]: Taking taylor expansion of 1.0 in x 0.507 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.507 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.507 * [taylor]: Taking taylor expansion of x in x 0.509 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.509 * [taylor]: Taking taylor expansion of 1.0 in x 0.509 * [taylor]: Taking taylor expansion of x in x 0.512 * [taylor]: Taking taylor expansion of (log (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.513 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.513 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.513 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.513 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.513 * [taylor]: Taking taylor expansion of 1.0 in x 0.513 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.513 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.513 * [taylor]: Taking taylor expansion of x in x 0.515 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.515 * [taylor]: Taking taylor expansion of 1.0 in x 0.515 * [taylor]: Taking taylor expansion of x in x 0.581 * [approximate]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in (x) around 0 0.581 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.581 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.581 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.581 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.581 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.581 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.581 * [taylor]: Taking taylor expansion of 1.0 in x 0.581 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.581 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.581 * [taylor]: Taking taylor expansion of x in x 0.584 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.584 * [taylor]: Taking taylor expansion of 1.0 in x 0.584 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (log (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)))) in x 0.588 * [taylor]: Taking taylor expansion of (- (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x))) in x 0.588 * [taylor]: Taking taylor expansion of (+ (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) (* 1.0 x)) in x 0.588 * [taylor]: Taking taylor expansion of (* x (sqrt (- 1.0 (/ 1 (pow x 2))))) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.588 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 0.588 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 0.588 * [taylor]: Taking taylor expansion of 1.0 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 0.589 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.591 * [taylor]: Taking taylor expansion of (* 1.0 x) in x 0.591 * [taylor]: Taking taylor expansion of 1.0 in x 0.591 * [taylor]: Taking taylor expansion of x in x 0.674 * * * [progress]: simplifying candidates 0.675 * [simplify]: Simplifying using # : (- (sqrt (- 1.0 (* x x)))) (- x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x))))) (* x x) (+ (* 1.0 (- x)) (* x (- (sqrt (- 1.0 (* x x)))))) (* x (- x)) (+ (* 1.0 (/ x (sqrt (- 1.0 (* x x))))) (* x 1)) (* x (/ x (sqrt (- 1.0 (* x x))))) (+ (* 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* 1.0 (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (+ (* (- 1.0) x) (* (- x) (sqrt (- 1.0 (* x x))))) (* (- x) x) (+ (* (- 1.0) (- x)) (* (- x) (- (sqrt (- 1.0 (* x x)))))) (* (- x) (- x)) (+ (* (- 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (- x) 1)) (* (- x) (/ x (sqrt (- 1.0 (* x x))))) (+ (* (- 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (- x) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* (- 1.0) (* x (sqrt (+ 1.0 (* x x))))) (* (- x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (- x) (* x (sqrt (+ 1.0 (* x x))))) (+ (* 1 x) (* (/ x 1.0) (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) x) (+ (* 1 (- x)) (* (/ x 1.0) (- (sqrt (- 1.0 (* x x)))))) (* (/ x 1.0) (- x)) (+ (* 1 (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) 1)) (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (+ (* 1 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (+ (* 1 (* x (sqrt (+ 1.0 (* x x))))) (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (/ x 1.0) (* x (sqrt (+ 1.0 (* x x))))) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (* 1.0 (- x)) (* x (- (sqrt (- 1.0 (* x x))))))) (log (* x (- x))) (log (+ (* 1.0 (/ x (sqrt (- 1.0 (* x x))))) (* x 1))) (log (* x (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* 1.0 (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* x (* x (sqrt (+ 1.0 (* x x)))))) (log (+ (* (- 1.0) x) (* (- x) (sqrt (- 1.0 (* x x)))))) (log (* (- x) x)) (log (+ (* (- 1.0) (- x)) (* (- x) (- (sqrt (- 1.0 (* x x))))))) (log (* (- x) (- x))) (log (+ (* (- 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (- x) 1))) (log (* (- x) (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* (- 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (- x) (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* (- 1.0) (* x (sqrt (+ 1.0 (* x x))))) (* (- x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* (- x) (* x (sqrt (+ 1.0 (* x x)))))) (log (+ (* 1 x) (* (/ x 1.0) (sqrt (- 1.0 (* x x)))))) (log (* (/ x 1.0) x)) (log (+ (* 1 (- x)) (* (/ x 1.0) (- (sqrt (- 1.0 (* x x))))))) (log (* (/ x 1.0) (- x))) (log (+ (* 1 (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) 1))) (log (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* 1 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* 1 (* x (sqrt (+ 1.0 (* x x))))) (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* (/ x 1.0) (* x (sqrt (+ 1.0 (* x x)))))) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (- (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1)) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (+ (/ (sqrt 1.0) x) (* 1.0 (/ 1 x))) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (+ (sqrt -1) (* 1.0 (/ 1 x)))) (- (* 1.0 (/ 1 x)) (+ (* 0.5 (/ 1 (* (pow x 2) (sqrt -1)))) (sqrt -1))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (- (sqrt -1))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (* 1.0 (/ 1 (* x (sqrt -1))))) 0.682 * * [simplify]: iteration 0 : 583 enodes (cost 837 ) 0.692 * * [simplify]: iteration 1 : 2408 enodes (cost 810 ) 0.732 * * [simplify]: iteration 2 : 5002 enodes (cost 806 ) 0.737 * [simplify]: Simplified to: (- (sqrt (- 1.0 (* x x)))) (- x) (/ 1 x) (/ x (sqrt (- 1.0 (* x x)))) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (+ 1.0 (* x x)))) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (- (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (- x) x) (fma 1.0 (/ x (sqrt (- 1.0 (* x x)))) x) (* x (/ x (sqrt (- 1.0 (* x x))))) (fma 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (fma (* 1.0 x) (hypot x (sqrt 1.0)) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* x (* x (sqrt (+ 1.0 (* x x))))) (- (fma 1.0 x (* x (sqrt (- 1.0 (* x x)))))) (* (- x) x) (fma 1.0 x (* x (sqrt (- 1.0 (* x x))))) (pow x 2) (fma (- 1.0) (/ x (sqrt (- 1.0 (* x x)))) (- x)) (* (- x) (/ x (sqrt (- 1.0 (* x x))))) (- (fma 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (- (fma 1.0 (* x (sqrt (+ 1.0 (* x x)))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (* (- x) (* x (sqrt (+ 1.0 (* x x))))) (fma (/ x 1.0) (sqrt (- 1.0 (* x x))) x) (* (/ x 1.0) x) (- (fma (/ x 1.0) (sqrt (- 1.0 (* x x))) x)) (* (/ x 1.0) (- x)) (+ (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x))))) (fma x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3))))) (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (fma x (sqrt (+ 1.0 (* x x))) (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))))) (* (/ x 1.0) (* x (sqrt (+ 1.0 (* x x))))) (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3)) (fma (/ (sqrt (- 1.0 (* x x))) x) (- (/ (sqrt (- 1.0 (* x x))) x) (/ 1.0 x)) (* (/ 1.0 x) (/ 1.0 x))) (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (+ 1.0 (sqrt (- 1.0 (* x x)))) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (+ (log (- x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (- x) x)) (log (+ (* 1.0 (/ x (sqrt (- 1.0 (* x x))))) (* x 1))) (log (* x (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* 1.0 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* x (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* x (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* 1.0 (* x (sqrt (+ 1.0 (* x x))))) (* x (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* x (* x (sqrt (+ 1.0 (* x x)))))) (+ (log (- x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (log (* (- x) x)) (log (+ (* 1.0 x) (* x (sqrt (- 1.0 (* x x)))))) (log (* x x)) (log (+ (* (- 1.0) (/ x (sqrt (- 1.0 (* x x))))) (* (- x) 1))) (log (* (- x) (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* (- 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (- x) (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* (- x) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* (- 1.0) (* x (sqrt (+ 1.0 (* x x))))) (* (- x) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* (- x) (* x (sqrt (+ 1.0 (* x x)))))) (log (+ (* 1 x) (* (/ x 1.0) (sqrt (- 1.0 (* x x)))))) (log (* (/ x 1.0) x)) (log (+ (* 1 (- x)) (* (/ x 1.0) (- (sqrt (- 1.0 (* x x))))))) (log (* (/ x 1.0) (- x))) (log (+ (* 1 (/ x (sqrt (- 1.0 (* x x))))) (* (/ x 1.0) 1))) (log (* (/ x 1.0) (/ x (sqrt (- 1.0 (* x x)))))) (log (+ (* 1 (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))))) (* (/ x 1.0) (sqrt (- (pow 1.0 3) (pow (* x x) 3)))))) (log (* (/ x 1.0) (* x (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x)))))))) (log (+ (* 1 (* x (sqrt (+ 1.0 (* x x))))) (* (/ x 1.0) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x))))))) (log (* (/ x 1.0) (* x (sqrt (+ 1.0 (* x x)))))) (log (+ (pow (/ 1.0 x) 3) (pow (/ (sqrt (- 1.0 (* x x))) x) 3))) (log (+ (* (/ 1.0 x) (/ 1.0 x)) (- (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)) (* (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))))) (log (- (* (/ 1.0 x) (/ 1.0 x)) (* (/ (sqrt (- 1.0 (* x x))) x) (/ (sqrt (- 1.0 (* x x))) x)))) (log (- (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) (- (/ (sqrt 1.0) x) (+ (* 1/2 (/ x (sqrt 1.0))) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3))))) (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (- (sqrt -1) (* 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 4) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (+ (/ (sqrt 1.0) x) (- (* 1.0 (/ 1 x)) (fma 1/2 (/ x (sqrt 1.0)) (* 1/8 (/ (pow x 3) (pow (sqrt 1.0) 3)))))) (fma (/ 1 (* (pow x 2) (sqrt -1))) 0.5 (fma 1.0 (/ 1 x) (sqrt -1))) (fma 1.0 (/ 1 x) (- (fma 0.5 (/ 1 (* (pow x 2) (sqrt -1))) (sqrt -1)))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma 0.5 (/ 1 (* x (sqrt -1))) (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) (- (- (- (log (+ (sqrt 1.0) 1.0)) (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0))))) (fma 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0))) (log x))) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0))) (+ (/ (- 0.16666666666666666) (* (pow x 3) (pow (sqrt -1) 3))) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (sqrt -1)))) (+ (/ (- 1.0) (* x (sqrt -1))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log (- (sqrt -1))))) 0.737 * * * [progress]: adding candidates to table 0.924 * * [progress]: iteration 2 / 4 0.924 * * * [progress]: picking best candidate 0.926 * * * * [pick]: Picked # 0.926 * * * [progress]: localizing error 0.937 * * * [progress]: generating rewritten candidates 0.937 * * * * [progress]: [ 1 / 4 ] rewriting at (2) 0.942 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 0.945 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 0.947 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.951 * * * [progress]: generating series expansions 0.951 * * * * [progress]: [ 1 / 4 ] generating series at (2) 0.951 * [approximate]: Taking taylor expansion of (+ (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) (log (/ 1 x))) in (x) around 0 0.951 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) (log (/ 1 x))) in x 0.951 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) in x 0.951 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.951 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.951 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.951 * [taylor]: Taking taylor expansion of 1.0 in x 0.951 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.951 * [taylor]: Taking taylor expansion of x in x 0.952 * [taylor]: Taking taylor expansion of 1.0 in x 0.954 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.954 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.954 * [taylor]: Taking taylor expansion of x in x 0.954 * [taylor]: Taking taylor expansion of (+ (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) (log (/ 1 x))) in x 0.954 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) in x 0.954 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 0.955 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 0.955 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 0.955 * [taylor]: Taking taylor expansion of 1.0 in x 0.955 * [taylor]: Taking taylor expansion of (pow x 2) in x 0.955 * [taylor]: Taking taylor expansion of x in x 0.956 * [taylor]: Taking taylor expansion of 1.0 in x 0.957 * [taylor]: Taking taylor expansion of (log (/ 1 x)) in x 0.957 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.957 * [taylor]: Taking taylor expansion of x in x 1.079 * [approximate]: Taking taylor expansion of (+ (log x) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in (x) around 0 1.079 * [taylor]: Taking taylor expansion of (+ (log x) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in x 1.079 * [taylor]: Taking taylor expansion of (log x) in x 1.079 * [taylor]: Taking taylor expansion of x in x 1.079 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.079 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.079 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.080 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.080 * [taylor]: Taking taylor expansion of 1.0 in x 1.080 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.080 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.080 * [taylor]: Taking taylor expansion of x in x 1.082 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (+ (log x) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in x 1.084 * [taylor]: Taking taylor expansion of (log x) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.084 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.084 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.084 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.084 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.084 * [taylor]: Taking taylor expansion of 1.0 in x 1.084 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.084 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.084 * [taylor]: Taking taylor expansion of x in x 1.087 * [taylor]: Taking taylor expansion of 1.0 in x 1.152 * [approximate]: Taking taylor expansion of (+ (log (* -1 x)) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in (x) around 0 1.152 * [taylor]: Taking taylor expansion of (+ (log (* -1 x)) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in x 1.152 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.152 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.152 * [taylor]: Taking taylor expansion of -1 in x 1.152 * [taylor]: Taking taylor expansion of x in x 1.153 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.153 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.153 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.153 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.153 * [taylor]: Taking taylor expansion of 1.0 in x 1.153 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.153 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.153 * [taylor]: Taking taylor expansion of x in x 1.156 * [taylor]: Taking taylor expansion of 1.0 in x 1.157 * [taylor]: Taking taylor expansion of (+ (log (* -1 x)) (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0))) in x 1.157 * [taylor]: Taking taylor expansion of (log (* -1 x)) in x 1.157 * [taylor]: Taking taylor expansion of (* -1 x) in x 1.157 * [taylor]: Taking taylor expansion of -1 in x 1.157 * [taylor]: Taking taylor expansion of x in x 1.158 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.158 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.158 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.158 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.158 * [taylor]: Taking taylor expansion of 1.0 in x 1.158 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.158 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.158 * [taylor]: Taking taylor expansion of x in x 1.161 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 1.227 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in (x) around 0 1.227 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.227 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.227 * [taylor]: Taking taylor expansion of 1.0 in x 1.227 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.227 * [taylor]: Taking taylor expansion of x in x 1.229 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.229 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.229 * [taylor]: Taking taylor expansion of 1.0 in x 1.229 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.229 * [taylor]: Taking taylor expansion of x in x 1.242 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.242 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.243 * [taylor]: Taking taylor expansion of 1.0 in x 1.243 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.243 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.243 * [taylor]: Taking taylor expansion of x in x 1.246 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.246 * [taylor]: Taking taylor expansion of 1.0 in x 1.246 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.246 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.246 * [taylor]: Taking taylor expansion of x in x 1.263 * [approximate]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in (x) around 0 1.263 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.263 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.263 * [taylor]: Taking taylor expansion of 1.0 in x 1.263 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.263 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.263 * [taylor]: Taking taylor expansion of x in x 1.266 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.266 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.266 * [taylor]: Taking taylor expansion of 1.0 in x 1.266 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.266 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.266 * [taylor]: Taking taylor expansion of x in x 1.283 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 1.284 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) in (x) around 0 1.284 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) in x 1.284 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.284 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.284 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.284 * [taylor]: Taking taylor expansion of 1.0 in x 1.284 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.284 * [taylor]: Taking taylor expansion of x in x 1.285 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (pow x 2))) 1.0)) in x 1.286 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.286 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.286 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.286 * [taylor]: Taking taylor expansion of 1.0 in x 1.286 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.286 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in (x) around 0 1.384 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.384 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.384 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.384 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.384 * [taylor]: Taking taylor expansion of 1.0 in x 1.384 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.384 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.384 * [taylor]: Taking taylor expansion of x in x 1.387 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.388 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.388 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.388 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.388 * [taylor]: Taking taylor expansion of 1.0 in x 1.388 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.388 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.388 * [taylor]: Taking taylor expansion of x in x 1.391 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [approximate]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in (x) around 0 1.437 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.437 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.437 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.437 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.437 * [taylor]: Taking taylor expansion of 1.0 in x 1.437 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.437 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.437 * [taylor]: Taking taylor expansion of x in x 1.440 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (log (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0)) in x 1.441 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.441 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.441 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.441 * [taylor]: Taking taylor expansion of 1.0 in x 1.441 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.441 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.441 * [taylor]: Taking taylor expansion of x in x 1.444 * [taylor]: Taking taylor expansion of 1.0 in x 1.496 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 1.496 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in (x) around 0 1.496 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.497 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.497 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.497 * [taylor]: Taking taylor expansion of 1.0 in x 1.497 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.497 * [taylor]: Taking taylor expansion of x in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.498 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (pow x 2))) 1.0) in x 1.498 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (pow x 2))) in x 1.498 * [taylor]: Taking taylor expansion of (- 1.0 (pow x 2)) in x 1.498 * [taylor]: Taking taylor expansion of 1.0 in x 1.498 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.498 * [taylor]: Taking taylor expansion of x in x 1.499 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 1.520 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.520 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.520 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.520 * [taylor]: Taking taylor expansion of 1.0 in x 1.520 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.520 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.520 * [taylor]: Taking taylor expansion of x in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.523 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.523 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.523 * [taylor]: Taking taylor expansion of 1.0 in x 1.523 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.523 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of 1.0 in x 1.540 * [approximate]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in (x) around 0 1.540 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.540 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.540 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.540 * [taylor]: Taking taylor expansion of 1.0 in x 1.540 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.540 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.540 * [taylor]: Taking taylor expansion of x in x 1.543 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (+ (sqrt (- 1.0 (/ 1 (pow x 2)))) 1.0) in x 1.543 * [taylor]: Taking taylor expansion of (sqrt (- 1.0 (/ 1 (pow x 2)))) in x 1.543 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 (pow x 2))) in x 1.543 * [taylor]: Taking taylor expansion of 1.0 in x 1.543 * [taylor]: Taking taylor expansion of (/ 1 (pow x 2)) in x 1.543 * [taylor]: Taking taylor expansion of (pow x 2) in x 1.543 * [taylor]: Taking taylor expansion of x in x 1.546 * [taylor]: Taking taylor expansion of 1.0 in x 1.553 * * * [progress]: simplifying candidates 1.554 * [simplify]: Simplifying using # : (* (/ 1 x) (+ 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow (log (/ 1 x)) 3) (pow (log (+ 1.0 (sqrt (- 1.0 (* x x))))) 3)) (+ (* (log (/ 1 x)) (log (/ 1 x))) (- (* (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (* (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))))) (- (* (log (/ 1 x)) (log (/ 1 x))) (* (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x))))))) (- (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (+ (log (/ 1 x)) (log (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)))) (+ (log (/ 1 x)) (log (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))))) (- (log x) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (- (log (- x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (- (log (/ x 1)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (sqrt (+ 1.0 (* x x))) (log (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (log (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (log (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (log (- 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x)))))) (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x))))) (- 1.0 (sqrt (- 1.0 (* x x)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (+ (log x) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2)))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (+ (log (sqrt -1)) (+ (log -1) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (* 1.0 (/ 1 (* x (sqrt -1))))) (- (sqrt 1.0) (+ (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (- (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1))) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (- (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))) (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- (log (+ (sqrt 1.0) 1.0)) (+ (* 1/2 (/ (pow x 2) (* (sqrt 1.0) (+ (sqrt 1.0) 1.0)))) (+ (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 3) (+ (sqrt 1.0) 1.0)))) (* 1/8 (/ (pow x 4) (* (pow (sqrt 1.0) 2) (pow (+ (sqrt 1.0) 1.0) 2))))))) (- (+ (log (sqrt -1)) (* 1.0 (/ 1 (* x (sqrt -1))))) (+ (log (/ 1 x)) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (- (+ (log (sqrt -1)) (* 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))))) (+ (* 1.0 (/ 1 (* x (sqrt -1)))) (log (/ -1 x)))) (- (+ (sqrt 1.0) 1.0) (+ (* 1/2 (/ (pow x 2) (sqrt 1.0))) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3))))) (+ 1.0 (+ (* 0.5 (/ 1 (* x (sqrt -1)))) (* x (sqrt -1)))) (- 1.0 (+ (* x (sqrt -1)) (* 0.5 (/ 1 (* x (sqrt -1)))))) 1.559 * * [simplify]: iteration 0 : 378 enodes (cost 391 ) 1.566 * * [simplify]: iteration 1 : 1380 enodes (cost 371 ) 1.590 * * [simplify]: iteration 2 : 5002 enodes (cost 352 ) 1.593 * [simplify]: Simplified to: (/ (+ 1.0 (sqrt (- 1.0 (* x x)))) x) (+ (pow (log (/ 1 x)) 3) (pow (log (+ 1.0 (sqrt (- 1.0 (* x x))))) 3)) (fma (log x) (log x) (* (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (- (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (/ 1 x))))) (fma (log x) (log x) (- (* (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))))) (- (log (/ 1 x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (- (log (+ 1.0 (sqrt (- 1.0 (* x x))))) (log x)) (- (log (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (log x)) (- (log (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (log x)) (- (log x) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (- (log (- x)) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (- (log x) (log (+ 1.0 (sqrt (- 1.0 (* x x)))))) (sqrt (- (pow 1.0 3) (pow (* x x) 3))) (sqrt (+ (* 1.0 1.0) (+ (* (* x x) (* x x)) (* 1.0 (* x x))))) (sqrt (- (* 1.0 1.0) (* (* x x) (* x x)))) (hypot x (sqrt 1.0)) (log (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3))) (log (+ (* 1.0 1.0) (- (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))) (* 1.0 (sqrt (- 1.0 (* x x))))))) (log (- (* 1.0 1.0) (* (sqrt (- 1.0 (* x x))) (sqrt (- 1.0 (* x x)))))) (log (- 1.0 (sqrt (- 1.0 (* x x))))) (+ (pow 1.0 3) (pow (sqrt (- 1.0 (* x x))) 3)) (- (fma 1.0 1.0 1.0) (fma x x (* 1.0 (sqrt (- 1.0 (* x x)))))) (+ (- (* 1.0 1.0) 1.0) (pow x 2)) (- 1.0 (sqrt (- 1.0 (* x x)))) (- (- (log (+ (sqrt 1.0) 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1.0) 1.0) x)) (fma (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0) (log x)))) (* (/ 1/8 1.0) (/ (pow x 4) (fma 1.0 (sqrt 1.0) 1.0)))) (- (/ 1.0 (* x (sqrt -1))) (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log (sqrt -1)))) (- (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (log -1)) (- (/ 1.0 (* x (sqrt -1))) (log (sqrt -1)))) (- (sqrt 1.0) (fma 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)) (* 1/2 (/ (pow x 2) (sqrt 1.0))))) (fma 0.5 (/ 1 (* x (sqrt -1))) (- (* x (sqrt -1)) (* 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3)))))) (fma 0.125 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))))) (- (- (log (+ (sqrt 1.0) 1.0)) (fma 1/2 (/ x (/ (+ (* (sqrt 1.0) 1.0) 1.0) x)) (* (/ 1/8 (pow (+ (sqrt 1.0) 1.0) 2)) (/ (pow x 4) 1.0)))) (* (/ 1/8 1.0) (/ (pow x 4) (fma 1.0 (sqrt 1.0) 1.0)))) (- (/ 1.0 (* x (sqrt -1))) (- (- (/ (/ 0.16666666666666666 (pow (sqrt -1) 3)) (pow x 3)) (log x)) (log (sqrt -1)))) (fma 0.16666666666666666 (/ 1 (* (pow x 3) (pow (sqrt -1) 3))) (- (log (sqrt -1)) (fma 1.0 (/ 1 (* x (sqrt -1))) (log (/ -1 x))))) (+ (sqrt 1.0) (- 1.0 (fma 1/2 (/ (pow x 2) (sqrt 1.0)) (* 1/8 (/ (pow x 4) (pow (sqrt 1.0) 3)))))) (+ (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1))) 1.0) (- 1.0 (fma 0.5 (/ 1 (* x (sqrt -1))) (* x (sqrt -1)))) 1.593 * * * [progress]: adding candidates to table 1.705 * [progress]: [Phase 3 of 3] Extracting. 1.705 * * [regime]: Finding splitpoints for: (# #) 1.706 * * * [regime-changes]: Trying 3 branch expressions: ((+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) x) 1.706 * * * * [regimes]: Trying to branch on (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x)) from (# #) 1.720 * * * * [regimes]: Trying to branch on (log (+ (/ 1.0 x) (/ (sqrt (- 1.0 (* x x))) x))) from (# #) 1.738 * * * * [regimes]: Trying to branch on x from (# #) 1.752 * * * [regime]: Found split indices: #