0.798 * [progress]: [Phase 1 of 3] Setting up. 0.002 * * * [progress]: [1/2] Preparing points 0.303 * * * [progress]: [2/2] Setting up program. 0.306 * [progress]: [Phase 2 of 3] Improving. 0.309 * [simplify]: Simplifying using # : (* (sqrt (- x 1.0)) (sqrt x)) 0.313 * * [simplify]: iteration 0 : 9 enodes (cost 4 ) 0.314 * * [simplify]: iteration 1 : 10 enodes (cost 4 ) 0.316 * * [simplify]: iteration 2 : 10 enodes (cost 4 ) 0.316 * [simplify]: Simplified to: (* (sqrt (- x 1.0)) (sqrt x)) 0.317 * * [progress]: iteration 1 / 4 0.317 * * * [progress]: picking best candidate 0.319 * * * * [pick]: Picked # 0.319 * * * [progress]: localizing error 0.326 * * * [progress]: generating rewritten candidates 0.327 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 0.363 * * * [progress]: generating series expansions 0.363 * * * * [progress]: [ 1 / 1 ] generating series at (2) 0.368 * [approximate]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in (x) around 0 0.369 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.369 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.369 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.369 * [taylor]: Taking taylor expansion of 1.0 in x 0.369 * [taylor]: Taking taylor expansion of x in x 0.373 * [taylor]: Taking taylor expansion of (sqrt (* (- x 1.0) x)) in x 0.374 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 0.374 * [taylor]: Taking taylor expansion of (- x 1.0) in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.374 * [taylor]: Taking taylor expansion of 1.0 in x 0.374 * [taylor]: Taking taylor expansion of x in x 0.385 * [approximate]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in (x) around 0 0.385 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.385 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.385 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.385 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.385 * [taylor]: Taking taylor expansion of x in x 0.386 * [taylor]: Taking taylor expansion of 1.0 in x 0.386 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of (sqrt (/ (- (/ 1 x) 1.0) x)) in x 0.390 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 0.390 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 0.390 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.390 * [taylor]: Taking taylor expansion of 1.0 in x 0.390 * [taylor]: Taking taylor expansion of x in x 0.397 * [approximate]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in (x) around 0 0.397 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.397 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.397 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.397 * [taylor]: Taking taylor expansion of 1.0 in x 0.397 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.397 * [taylor]: Taking taylor expansion of x in x 0.399 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.399 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.399 * [taylor]: Taking taylor expansion of -1 in x 0.399 * [taylor]: Taking taylor expansion of x in x 0.400 * [taylor]: Taking taylor expansion of (* (sqrt (- (+ 1.0 (/ 1 x)))) (sqrt (/ -1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (sqrt (- (+ 1.0 (/ 1 x)))) in x 0.400 * [taylor]: Taking taylor expansion of (- (+ 1.0 (/ 1 x))) in x 0.400 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 0.400 * [taylor]: Taking taylor expansion of 1.0 in x 0.400 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.400 * [taylor]: Taking taylor expansion of x in x 0.402 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 0.402 * [taylor]: Taking taylor expansion of (/ -1 x) in x 0.402 * [taylor]: Taking taylor expansion of -1 in x 0.402 * [taylor]: Taking taylor expansion of x in x 0.427 * * * [progress]: simplifying candidates 0.427 * [simplify]: Simplifying using # : (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (+ (log (sqrt (- x 1.0))) (log (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt (- x 1.0))) (sqrt (- x 1.0))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (* (* (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (- x 1.0)) (sqrt x))) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- x 1.0)) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (sqrt 1)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) 1) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (- (+ (* +nan.0 (pow x 2)) (- (+ (* +nan.0 (pow x 3)) (- (* +nan.0 x)))))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- +nan.0))))) 0.431 * * [simplify]: iteration 0 : 181 enodes (cost 216 ) 0.435 * * [simplify]: iteration 1 : 610 enodes (cost 206 ) 0.447 * * [simplify]: iteration 2 : 2471 enodes (cost 201 ) 0.499 * * [simplify]: iteration 3 : 5002 enodes (cost 201 ) 0.500 * [simplify]: Simplified to: (* (- x 1.0) x) (* (sqrt (- x 1.0)) (sqrt x)) (* (- x 1.0) x) (log (* (sqrt (- x 1.0)) (sqrt x))) (log (* (sqrt (- x 1.0)) (sqrt x))) (exp (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (cbrt (* (sqrt (- x 1.0)) (sqrt x)))) (cbrt (* (sqrt (- x 1.0)) (sqrt x))) (pow (* (sqrt (- x 1.0)) (sqrt x)) 3) (* (- x 1.0) x) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (sqrt (* (sqrt (- x 1.0)) (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (sqrt (- x 1.0))) (sqrt (sqrt x))) (* (sqrt (- x 1.0)) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (fabs (cbrt x)) (sqrt (- x 1.0))) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (sqrt (- x 1.0)) (sqrt (sqrt x))) (sqrt (- x 1.0)) (* (cbrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (cbrt (- x 1.0))) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (sqrt (- x 1.0))) (sqrt x)) (* (sqrt (- x 1.0)) (sqrt x)) (* (sqrt (- (pow x 3) (pow 1.0 3))) (sqrt x)) (* (sqrt (- (* x x) (* 1.0 1.0))) (sqrt x)) (* +nan.0 (+ (- (pow x 2)) (- (pow x 3) x))) (- x (+ 0.5 (* 0.125 (/ 1 x)))) (- (- (/ +nan.0 x) +nan.0) (/ +nan.0 (pow x 2))) 0.501 * * * [progress]: adding candidates to table 0.569 * * [progress]: iteration 2 / 4 0.569 * * * [progress]: picking best candidate 0.576 * * * * [pick]: Picked # 0.576 * * * [progress]: localizing error 0.582 * * * [progress]: generating rewritten candidates 0.582 * * * * [progress]: [ 1 / 1 ] rewriting at (2 2) 0.588 * * * [progress]: generating series expansions 0.588 * * * * [progress]: [ 1 / 1 ] generating series at (2 2) 0.588 * [approximate]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in (x) around 0 0.588 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 0.588 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.588 * [taylor]: Taking taylor expansion of 0.125 in x 0.588 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.588 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 0.5 in x 0.589 * [taylor]: Taking taylor expansion of (+ (* 0.125 (/ 1 x)) 0.5) in x 0.589 * [taylor]: Taking taylor expansion of (* 0.125 (/ 1 x)) in x 0.589 * [taylor]: Taking taylor expansion of 0.125 in x 0.589 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.589 * [taylor]: Taking taylor expansion of x in x 0.589 * [taylor]: Taking taylor expansion of 0.5 in x 0.598 * [approximate]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in (x) around 0 0.598 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 0.598 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.598 * [taylor]: Taking taylor expansion of 0.125 in x 0.598 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 0.5 in x 0.599 * [taylor]: Taking taylor expansion of (+ (* 0.125 x) 0.5) in x 0.599 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.599 * [taylor]: Taking taylor expansion of 0.125 in x 0.599 * [taylor]: Taking taylor expansion of x in x 0.599 * [taylor]: Taking taylor expansion of 0.5 in x 0.605 * [approximate]: Taking taylor expansion of (- 0.5 (* 0.125 x)) in (x) around 0 0.605 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.125 x)) in x 0.605 * [taylor]: Taking taylor expansion of 0.5 in x 0.605 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.605 * [taylor]: Taking taylor expansion of 0.125 in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.606 * [taylor]: Taking taylor expansion of (- 0.5 (* 0.125 x)) in x 0.606 * [taylor]: Taking taylor expansion of 0.5 in x 0.606 * [taylor]: Taking taylor expansion of (* 0.125 x) in x 0.606 * [taylor]: Taking taylor expansion of 0.125 in x 0.606 * [taylor]: Taking taylor expansion of x in x 0.614 * * * [progress]: simplifying candidates 0.615 * [simplify]: Simplifying using # : (* (exp 0.5) (exp (* 0.125 (/ 1 x)))) (log (+ 0.5 (* 0.125 (/ 1 x)))) (exp (+ 0.5 (* 0.125 (/ 1 x)))) (* (cbrt (+ 0.5 (* 0.125 (/ 1 x)))) (cbrt (+ 0.5 (* 0.125 (/ 1 x))))) (cbrt (+ 0.5 (* 0.125 (/ 1 x)))) (* (* (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x)))) (+ 0.5 (* 0.125 (/ 1 x)))) (sqrt (+ 0.5 (* 0.125 (/ 1 x)))) (sqrt (+ 0.5 (* 0.125 (/ 1 x)))) (+ (pow 0.5 3) (pow (* 0.125 (/ 1 x)) 3)) (+ (* 0.5 0.5) (- (* (* 0.125 (/ 1 x)) (* 0.125 (/ 1 x))) (* 0.5 (* 0.125 (/ 1 x))))) (- (* 0.5 0.5) (* (* 0.125 (/ 1 x)) (* 0.125 (/ 1 x)))) (- 0.5 (* 0.125 (/ 1 x))) (+ (* 0.125 (/ 1 x)) 0.5) (+ 0.5 (* 0.125 (/ 1 x))) (+ 0.5 (* 0.125 (/ 1 x))) 0.617 * * [simplify]: iteration 0 : 86 enodes (cost 76 ) 0.620 * * [simplify]: iteration 1 : 301 enodes (cost 69 ) 0.626 * * [simplify]: iteration 2 : 1152 enodes (cost 69 ) 0.650 * * [simplify]: iteration 3 : 3934 enodes (cost 66 ) 0.713 * * [simplify]: iteration 4 : 5002 enodes (cost 61 ) 0.714 * [simplify]: Simplified to: (pow E (+ (/ 0.125 x) 0.5)) (log (+ 0.5 (* 0.125 (/ 1 x)))) (pow E (+ (/ 0.125 x) 0.5)) (* (cbrt (+ 0.5 (* 0.125 (/ 1 x)))) (cbrt (+ 0.5 (* 0.125 (/ 1 x))))) (cbrt (+ 0.5 (* 0.125 (/ 1 x)))) (pow (+ 0.5 (* 0.125 (/ 1 x))) 3) (sqrt (+ 0.5 (* 0.125 (/ 1 x)))) (sqrt (+ 0.5 (* 0.125 (/ 1 x)))) (+ (pow 0.5 3) (pow (* 0.125 (/ 1 x)) 3)) (+ (* (* 0.125 (/ 1 x)) (- (* 0.125 (/ 1 x)) 0.5)) (* 0.5 0.5)) (* (+ (/ 0.125 x) 0.5) (- 0.5 (/ 0.125 x))) (- 0.5 (/ 0.125 x)) (+ (/ 0.125 x) 0.5) (+ (/ 0.125 x) 0.5) (+ (/ 0.125 x) 0.5) 0.714 * * * [progress]: adding candidates to table 0.740 * * [progress]: iteration 3 / 4 0.740 * * * [progress]: picking best candidate 0.744 * * * * [pick]: Picked # 0.744 * * * [progress]: localizing error 0.754 * * * [progress]: generating rewritten candidates 0.754 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 0.796 * * * * [progress]: [ 2 / 4 ] rewriting at (2) 0.878 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 0.891 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1) 0.910 * * * [progress]: generating series expansions 0.910 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 0.911 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in (x) around 0 0.911 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in x 0.911 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) x) in x 0.911 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 0.911 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.911 * [taylor]: Taking taylor expansion of x in x 0.912 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.912 * [taylor]: Taking taylor expansion of 1.0 in x 0.913 * [taylor]: Taking taylor expansion of x in x 0.918 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) x)) in x 0.918 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) x) in x 0.918 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 0.918 * [taylor]: Taking taylor expansion of (sqrt x) in x 0.918 * [taylor]: Taking taylor expansion of x in x 0.919 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.919 * [taylor]: Taking taylor expansion of 1.0 in x 0.920 * [taylor]: Taking taylor expansion of x in x 0.960 * [approximate]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in (x) around 0 0.960 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x) in x 0.960 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.960 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.960 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.960 * [taylor]: Taking taylor expansion of x in x 0.961 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.961 * [taylor]: Taking taylor expansion of 1.0 in x 0.962 * [taylor]: Taking taylor expansion of x in x 0.967 * [taylor]: Taking taylor expansion of (sqrt (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ (- (sqrt (/ 1 x)) (sqrt 1.0)) x) in x 0.967 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 0.967 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 0.967 * [taylor]: Taking taylor expansion of (/ 1 x) in x 0.967 * [taylor]: Taking taylor expansion of x in x 0.968 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 0.968 * [taylor]: Taking taylor expansion of 1.0 in x 0.969 * [taylor]: Taking taylor expansion of x in x 1.029 * [approximate]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in (x) around 0 1.029 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.029 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.029 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.029 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.029 * [taylor]: Taking taylor expansion of -1 in x 1.029 * [taylor]: Taking taylor expansion of x in x 1.031 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.031 * [taylor]: Taking taylor expansion of 1.0 in x 1.039 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.039 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.039 * [taylor]: Taking taylor expansion of -1 in x 1.039 * [taylor]: Taking taylor expansion of x in x 1.040 * [taylor]: Taking taylor expansion of (* (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) (sqrt (/ -1 x))) in x 1.040 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.040 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.041 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.041 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.041 * [taylor]: Taking taylor expansion of -1 in x 1.041 * [taylor]: Taking taylor expansion of x in x 1.042 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.042 * [taylor]: Taking taylor expansion of 1.0 in x 1.050 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.050 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.050 * [taylor]: Taking taylor expansion of -1 in x 1.050 * [taylor]: Taking taylor expansion of x in x 1.181 * * * * [progress]: [ 2 / 4 ] generating series at (2) 1.181 * [approximate]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in (x) around 0 1.181 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in x 1.181 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x)))) in x 1.181 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 1.182 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.182 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.183 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt x))) in x 1.183 * [taylor]: Taking taylor expansion of x in x 1.183 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.183 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.183 * [taylor]: Taking taylor expansion of 1.0 in x 1.184 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.184 * [taylor]: Taking taylor expansion of x in x 1.193 * [taylor]: Taking taylor expansion of (sqrt (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x))))) in x 1.193 * [taylor]: Taking taylor expansion of (* (- (sqrt x) (sqrt 1.0)) (* x (+ (sqrt 1.0) (sqrt x)))) in x 1.193 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 1.193 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.193 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.194 * [taylor]: Taking taylor expansion of (* x (+ (sqrt 1.0) (sqrt x))) in x 1.194 * [taylor]: Taking taylor expansion of x in x 1.194 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 1.194 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.194 * [taylor]: Taking taylor expansion of 1.0 in x 1.195 * [taylor]: Taking taylor expansion of (sqrt x) in x 1.195 * [taylor]: Taking taylor expansion of x in x 1.271 * [approximate]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in (x) around 0 1.271 * [taylor]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x) in x 1.271 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 1.271 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 1.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.271 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.271 * [taylor]: Taking taylor expansion of x in x 1.272 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.272 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 1.273 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.273 * [taylor]: Taking taylor expansion of 1.0 in x 1.273 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.273 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.273 * [taylor]: Taking taylor expansion of x in x 1.274 * [taylor]: Taking taylor expansion of x in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) x) in x 1.293 * [taylor]: Taking taylor expansion of (* (- (sqrt (/ 1 x)) (sqrt 1.0)) (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 1.293 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 1.293 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.293 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.293 * [taylor]: Taking taylor expansion of x in x 1.294 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.295 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 1.295 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.295 * [taylor]: Taking taylor expansion of 1.0 in x 1.296 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 1.296 * [taylor]: Taking taylor expansion of (/ 1 x) in x 1.296 * [taylor]: Taking taylor expansion of x in x 1.297 * [taylor]: Taking taylor expansion of x in x 1.486 * [approximate]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in (x) around 0 1.486 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in x 1.486 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) in x 1.486 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.486 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.486 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.486 * [taylor]: Taking taylor expansion of 1.0 in x 1.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.487 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.487 * [taylor]: Taking taylor expansion of -1 in x 1.487 * [taylor]: Taking taylor expansion of x in x 1.488 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.488 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.488 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.488 * [taylor]: Taking taylor expansion of -1 in x 1.488 * [taylor]: Taking taylor expansion of x in x 1.489 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.489 * [taylor]: Taking taylor expansion of 1.0 in x 1.522 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.523 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.523 * [taylor]: Taking taylor expansion of -1 in x 1.523 * [taylor]: Taking taylor expansion of x in x 1.524 * [taylor]: Taking taylor expansion of (* (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) (sqrt (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0)))) in x 1.524 * [taylor]: Taking taylor expansion of (* (+ (sqrt 1.0) (sqrt (/ -1 x))) (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 1.524 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 1.524 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.524 * [taylor]: Taking taylor expansion of 1.0 in x 1.524 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.524 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.524 * [taylor]: Taking taylor expansion of -1 in x 1.524 * [taylor]: Taking taylor expansion of x in x 1.526 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 1.526 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.526 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.526 * [taylor]: Taking taylor expansion of -1 in x 1.526 * [taylor]: Taking taylor expansion of x in x 1.527 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 1.527 * [taylor]: Taking taylor expansion of 1.0 in x 1.566 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 1.566 * [taylor]: Taking taylor expansion of (/ -1 x) in x 1.566 * [taylor]: Taking taylor expansion of -1 in x 1.566 * [taylor]: Taking taylor expansion of x in x 2.007 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.007 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in (x) around 0 2.007 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in x 2.007 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 2.007 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.007 * [taylor]: Taking taylor expansion of 1.0 in x 2.008 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.008 * [taylor]: Taking taylor expansion of x in x 2.017 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt x))) in x 2.017 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt x)) in x 2.017 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.017 * [taylor]: Taking taylor expansion of 1.0 in x 2.018 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.018 * [taylor]: Taking taylor expansion of x in x 2.039 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in (x) around 0 2.039 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.039 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.039 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.039 * [taylor]: Taking taylor expansion of 1.0 in x 2.040 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.040 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.040 * [taylor]: Taking taylor expansion of x in x 2.047 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ 1 x)))) in x 2.047 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ 1 x))) in x 2.047 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.047 * [taylor]: Taking taylor expansion of 1.0 in x 2.047 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.047 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.047 * [taylor]: Taking taylor expansion of x in x 2.078 * [approximate]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in (x) around 0 2.078 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.078 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.078 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.078 * [taylor]: Taking taylor expansion of 1.0 in x 2.079 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.079 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.079 * [taylor]: Taking taylor expansion of -1 in x 2.079 * [taylor]: Taking taylor expansion of x in x 2.085 * [taylor]: Taking taylor expansion of (sqrt (+ (sqrt 1.0) (sqrt (/ -1 x)))) in x 2.085 * [taylor]: Taking taylor expansion of (+ (sqrt 1.0) (sqrt (/ -1 x))) in x 2.085 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.085 * [taylor]: Taking taylor expansion of 1.0 in x 2.086 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.086 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.086 * [taylor]: Taking taylor expansion of -1 in x 2.086 * [taylor]: Taking taylor expansion of x in x 2.124 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1) 2.125 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in (x) around 0 2.125 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in x 2.125 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 2.125 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.125 * [taylor]: Taking taylor expansion of x in x 2.126 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.126 * [taylor]: Taking taylor expansion of 1.0 in x 2.131 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt x) (sqrt 1.0))) in x 2.131 * [taylor]: Taking taylor expansion of (- (sqrt x) (sqrt 1.0)) in x 2.131 * [taylor]: Taking taylor expansion of (sqrt x) in x 2.131 * [taylor]: Taking taylor expansion of x in x 2.132 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.132 * [taylor]: Taking taylor expansion of 1.0 in x 2.160 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in (x) around 0 2.160 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in x 2.160 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 2.160 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.160 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.160 * [taylor]: Taking taylor expansion of x in x 2.161 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.161 * [taylor]: Taking taylor expansion of 1.0 in x 2.169 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ 1 x)) (sqrt 1.0))) in x 2.169 * [taylor]: Taking taylor expansion of (- (sqrt (/ 1 x)) (sqrt 1.0)) in x 2.169 * [taylor]: Taking taylor expansion of (sqrt (/ 1 x)) in x 2.170 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.170 * [taylor]: Taking taylor expansion of x in x 2.171 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.171 * [taylor]: Taking taylor expansion of 1.0 in x 2.219 * [approximate]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in (x) around 0 2.219 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 2.219 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 2.219 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.219 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.219 * [taylor]: Taking taylor expansion of -1 in x 2.219 * [taylor]: Taking taylor expansion of x in x 2.221 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.221 * [taylor]: Taking taylor expansion of 1.0 in x 2.229 * [taylor]: Taking taylor expansion of (sqrt (- (sqrt (/ -1 x)) (sqrt 1.0))) in x 2.229 * [taylor]: Taking taylor expansion of (- (sqrt (/ -1 x)) (sqrt 1.0)) in x 2.229 * [taylor]: Taking taylor expansion of (sqrt (/ -1 x)) in x 2.229 * [taylor]: Taking taylor expansion of (/ -1 x) in x 2.229 * [taylor]: Taking taylor expansion of -1 in x 2.229 * [taylor]: Taking taylor expansion of x in x 2.230 * [taylor]: Taking taylor expansion of (sqrt 1.0) in x 2.230 * [taylor]: Taking taylor expansion of 1.0 in x 2.279 * * * [progress]: simplifying candidates 2.282 * [simplify]: Simplifying using # : (* (- (sqrt x) (sqrt 1.0)) x) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (- (sqrt x) (sqrt 1.0)) x) (+ (log (sqrt (- (sqrt x) (sqrt 1.0)))) (log (sqrt x))) (log (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (exp (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt x) (sqrt x)) (sqrt x))) (* (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (cbrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (- (sqrt x) (sqrt 1.0)) x) (sqrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (sqrt (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (* (cbrt (sqrt x)) (cbrt (sqrt x)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (* (cbrt x) (cbrt x)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt 1)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) 1) (* (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (cbrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x)) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x)) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (+ (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (+ (log (sqrt (- (sqrt x) (sqrt 1.0)))) (log (sqrt x)))) (+ (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (log (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (log (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (exp (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt x) (sqrt x)) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))))) (cbrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (+ (sqrt x) (sqrt 1.0)) (* (- (sqrt x) (sqrt 1.0)) x)) (sqrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (sqrt (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)))))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0)))))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (cbrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt x))) (* (sqrt (+ (sqrt x) (sqrt 1.0))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt x))) (* (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (* (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (log (sqrt (+ (sqrt x) (sqrt 1.0)))) (exp (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (cbrt (sqrt (+ (sqrt x) (sqrt 1.0))))) (cbrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (* (* (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (* (cbrt (+ (sqrt x) (sqrt 1.0))) (cbrt (+ (sqrt x) (sqrt 1.0))))) (sqrt (cbrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt 1) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (sqrt 1)) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt 1) (sqrt (+ (sqrt x) (sqrt 1.0))) (sqrt (+ (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* (sqrt x) (sqrt x)) (- (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (+ (sqrt x) (sqrt 1.0)))) (log (sqrt (- (sqrt x) (sqrt 1.0)))) (exp (sqrt (- (sqrt x) (sqrt 1.0)))) (* (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (cbrt (sqrt (- (sqrt x) (sqrt 1.0))))) (cbrt (sqrt (- (sqrt x) (sqrt 1.0)))) (* (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (* (cbrt (- (sqrt x) (sqrt 1.0))) (cbrt (- (sqrt x) (sqrt 1.0))))) (sqrt (cbrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt 1) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (+ (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (- (sqrt (sqrt x)) (sqrt (sqrt 1.0)))) (sqrt (sqrt 1)) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt 1) (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt (- (pow (sqrt x) 3) (pow (sqrt 1.0) 3))) (sqrt (+ (* (sqrt x) (sqrt x)) (+ (* (sqrt 1.0) (sqrt 1.0)) (* (sqrt x) (sqrt 1.0))))) (sqrt (- (* (sqrt x) (sqrt x)) (* (sqrt 1.0) (sqrt 1.0)))) (sqrt (+ (sqrt x) (sqrt 1.0))) (/ 1 2) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (sqrt (sqrt (- (sqrt x) (sqrt 1.0)))) (- (+ (* +nan.0 (* (pow x 3) (pow (sqrt 1.0) 3))) (- (+ (* +nan.0 (* (pow x 3) (sqrt 1.0))) (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 2))) (- (+ (* +nan.0 (* x (sqrt 1.0))) (- (* +nan.0 (pow x 2))))))))))))) (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (+ (* +nan.0 (/ (sqrt 1.0) x)) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 3) (pow x 2))) (- +nan.0))))))))))))))))) (- (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3)))) (- (+ (* +nan.0 (/ (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) x)) (- (+ (* +nan.0 (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))) (- (+ (* +nan.0 (sqrt (- (+ (sqrt 1.0) (- +nan.0))))) (- (+ (* +nan.0 (/ (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (pow x 2))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))))))))))))))) (- (+ (* +nan.0 (* (pow x 3) (sqrt 1.0))) (- (+ (* +nan.0 (pow x 3)) (- (+ (* +nan.0 (* (pow x 3) (pow (sqrt 1.0) 6))) (- (+ (* +nan.0 (* (pow x 2) (pow (sqrt 1.0) 4))) (- (+ (* +nan.0 (* (pow x 2) (sqrt 1.0))) (- (+ (* +nan.0 (* x (pow (sqrt 1.0) 2))) (- (* +nan.0 (* (pow x 3) (pow (sqrt 1.0) 3)))))))))))))))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) (pow x 2))) (- (+ (* +nan.0 (sqrt 1.0)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) x)) (- (+ (* +nan.0 (pow (sqrt 1.0) 2)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 2) (pow x 2))) (- (+ (* +nan.0 (/ 1 (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 3) x)) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 3) (pow x 2))) (- (+ (* +nan.0 (/ 1 x)) (- (+ +nan.0 (- (+ (* +nan.0 (/ (sqrt 1.0) (pow x 2))) (- (+ (* +nan.0 (/ (pow (sqrt 1.0) 4) x)) (- (+ (* +nan.0 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+nan.0)))) 3)))) (- (+ (* +nan.0 (sqrt (- (+ (* +nan.0 (sqrt 1.0)) (- (pow (sqrt 1.0) 2) +nan.0))))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (* +nan.0 (sqrt 1.0)) (- (pow (sqrt 1.0) 2) +nan.0)))))))))))))))))))))))))) (- (sqrt (sqrt 1.0)) (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (pow (sqrt 1.0) 3))))) (- (+ (* +nan.0 (* (pow x 2) (sqrt (/ 1 (sqrt 1.0))))) (- (* +nan.0 (* x (sqrt (/ 1 (sqrt 1.0)))))))))) (- (sqrt (- (sqrt 1.0) +nan.0)) (+ (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3))))) (- (+ (* +nan.0 (* (/ 1 x) (sqrt (/ 1 (- (sqrt 1.0) +nan.0))))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (sqrt 1.0) +nan.0)))))))))) (- (sqrt (- (sqrt 1.0) +nan.0)) (+ (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3))))) (- (+ (* +nan.0 (* (/ 1 x) (sqrt (/ 1 (- (sqrt 1.0) +nan.0))))) (- (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (- (sqrt 1.0) +nan.0)))))))))) (- (sqrt (- (sqrt 1.0))) (+ (* +nan.0 (/ (pow x 2) (sqrt (- (sqrt 1.0))))) (- (+ (* +nan.0 (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3))) (- (* +nan.0 (/ x (sqrt (- (sqrt 1.0)))))))))) (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))))))))) (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (+ (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3)))) (- (+ (* +nan.0 (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))) (- (* +nan.0 (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))))))))) 2.292 * * [simplify]: iteration 0 : 970 enodes (cost 1669 ) 2.308 * * [simplify]: iteration 1 : 3752 enodes (cost 1504 ) 2.367 * * [simplify]: iteration 2 : 5002 enodes (cost 1494 ) 2.373 * [simplify]: Simplified to: (* (- (sqrt x) (sqrt 1.0)) x) (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x)) (* (- (sqrt x) (sqrt 1.0)) x) (log (* (sqrt (- (sqrt x) (sqrt 1.0))) (sqrt x))) (log (* (sqrt (- (sqrt x) 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(sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3)))))) (* (sqrt (/ 1 (- (sqrt 1.0) +nan.0))) (- (* +nan.0 (/ 1 x)) (* +nan.0 (/ 1 (pow x 2)))))) (+ (- (sqrt (- (sqrt 1.0) +nan.0)) (* +nan.0 (* (/ 1 (pow x 2)) (sqrt (/ 1 (pow (- (sqrt 1.0) +nan.0) 3)))))) (* (sqrt (/ 1 (- (sqrt 1.0) +nan.0))) (- (* +nan.0 (/ 1 x)) (* +nan.0 (/ 1 (pow x 2)))))) (+ (- (sqrt (- (sqrt 1.0))) (* +nan.0 (/ (pow x 2) (sqrt (- (sqrt 1.0)))))) (* +nan.0 (- (/ (pow x 2) (pow (sqrt (- (sqrt 1.0))) 3)) (/ x (sqrt (- (sqrt 1.0))))))) (+ (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3))))) (* +nan.0 (- (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))) (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))))) (+ (- (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) (* +nan.0 (/ 1 (* (pow x 2) (pow (sqrt (- (+ (sqrt 1.0) (- +nan.0)))) 3))))) (* +nan.0 (- (/ 1 (* x (sqrt (- (+ (sqrt 1.0) (- +nan.0)))))) (/ 1 (* (pow x 2) (sqrt (- (+ (sqrt 1.0) (- +nan.0))))))))) 2.374 * * * [progress]: adding candidates to table 2.679 * * [progress]: iteration 4 / 4 2.679 * * * [progress]: picking best candidate 2.680 * * * * [pick]: Picked # 2.680 * * * [progress]: localizing error 2.689 * * * [progress]: generating rewritten candidates 2.689 * * * * [progress]: [ 1 / 1 ] rewriting at (2) 2.701 * * * [progress]: generating series expansions 2.701 * * * * [progress]: [ 1 / 1 ] generating series at (2) 2.702 * [approximate]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in (x) around 0 2.702 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 2.702 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 2.702 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 2.702 * [taylor]: Taking taylor expansion of 1/2 in x 2.702 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 2.702 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.702 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.702 * [taylor]: Taking taylor expansion of 1.0 in x 2.702 * [taylor]: Taking taylor expansion of x in x 2.706 * [taylor]: Taking taylor expansion of (pow (* (- x 1.0) x) 1/2) in x 2.707 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (* (- x 1.0) x)))) in x 2.707 * [taylor]: Taking taylor expansion of (* 1/2 (log (* (- x 1.0) x))) in x 2.707 * [taylor]: Taking taylor expansion of 1/2 in x 2.707 * [taylor]: Taking taylor expansion of (log (* (- x 1.0) x)) in x 2.707 * [taylor]: Taking taylor expansion of (* (- x 1.0) x) in x 2.707 * [taylor]: Taking taylor expansion of (- x 1.0) in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.707 * [taylor]: Taking taylor expansion of 1.0 in x 2.707 * [taylor]: Taking taylor expansion of x in x 2.746 * [approximate]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in (x) around 0 2.746 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 2.746 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 2.746 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 2.746 * [taylor]: Taking taylor expansion of 1/2 in x 2.746 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 2.746 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.746 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.746 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.746 * [taylor]: Taking taylor expansion of 1.0 in x 2.746 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of (pow (/ (- (/ 1 x) 1.0) x) 1/2) in x 2.747 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (- (/ 1 x) 1.0) x)))) in x 2.747 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (- (/ 1 x) 1.0) x))) in x 2.747 * [taylor]: Taking taylor expansion of 1/2 in x 2.747 * [taylor]: Taking taylor expansion of (log (/ (- (/ 1 x) 1.0) x)) in x 2.747 * [taylor]: Taking taylor expansion of (/ (- (/ 1 x) 1.0) x) in x 2.747 * [taylor]: Taking taylor expansion of (- (/ 1 x) 1.0) in x 2.747 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.747 * [taylor]: Taking taylor expansion of 1.0 in x 2.747 * [taylor]: Taking taylor expansion of x in x 2.768 * [approximate]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in (x) around 0 2.768 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 2.768 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 2.768 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 2.768 * [taylor]: Taking taylor expansion of 1/2 in x 2.768 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 2.768 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.768 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.768 * [taylor]: Taking taylor expansion of 1.0 in x 2.768 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.768 * [taylor]: Taking taylor expansion of x in x 2.769 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of (pow (/ (+ 1.0 (/ 1 x)) x) 1/2) in x 2.770 * [taylor]: Taking taylor expansion of (exp (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x)))) in x 2.770 * [taylor]: Taking taylor expansion of (* 1/2 (log (/ (+ 1.0 (/ 1 x)) x))) in x 2.770 * [taylor]: Taking taylor expansion of 1/2 in x 2.770 * [taylor]: Taking taylor expansion of (log (/ (+ 1.0 (/ 1 x)) x)) in x 2.770 * [taylor]: Taking taylor expansion of (/ (+ 1.0 (/ 1 x)) x) in x 2.770 * [taylor]: Taking taylor expansion of (+ 1.0 (/ 1 x)) in x 2.770 * [taylor]: Taking taylor expansion of 1.0 in x 2.770 * [taylor]: Taking taylor expansion of (/ 1 x) in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.770 * [taylor]: Taking taylor expansion of x in x 2.788 * * * [progress]: simplifying candidates 2.789 * [simplify]: Simplifying using # : (* (+ (log x) (log (- x 1.0))) (/ 1 2)) (* (log (* x (- x 1.0))) (/ 1 2)) (* (log (* x (- x 1.0))) (/ 1 2)) (* 1 (/ 1 2)) (* 1 (/ 1 2)) (pow (* x (- x 1.0)) (* (cbrt (/ 1 2)) (cbrt (/ 1 2)))) (pow (* x (- x 1.0)) (sqrt (/ 1 2))) (pow (* x (- x 1.0)) (/ (* (cbrt 1) (cbrt 1)) (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ (* (cbrt 1) (cbrt 1)) (sqrt 2))) (pow (* x (- x 1.0)) (/ (* (cbrt 1) (cbrt 1)) 1)) (pow (* x (- x 1.0)) (/ (sqrt 1) (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ (sqrt 1) (sqrt 2))) (pow (* x (- x 1.0)) (/ (sqrt 1) 1)) (pow (* x (- x 1.0)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ 1 (sqrt 2))) (pow (* x (- x 1.0)) (/ 1 1)) (pow (* x (- x 1.0)) 1) (pow (* x (- x 1.0)) 1) (pow x (/ 1 2)) (pow (- x 1.0) (/ 1 2)) (log (pow (* x (- x 1.0)) (/ 1 2))) (exp (pow (* x (- x 1.0)) (/ 1 2))) (* (cbrt (pow (* x (- x 1.0)) (/ 1 2))) (cbrt (pow (* x (- x 1.0)) (/ 1 2)))) (cbrt (pow (* x (- x 1.0)) (/ 1 2))) (* (* (pow (* x (- x 1.0)) (/ 1 2)) (pow (* x (- x 1.0)) (/ 1 2))) (pow (* x (- x 1.0)) (/ 1 2))) (sqrt (pow (* x (- x 1.0)) (/ 1 2))) (sqrt (pow (* x (- x 1.0)) (/ 1 2))) (pow (* x (- x 1.0)) (/ (/ 1 2) 2)) (pow (* x (- x 1.0)) (/ (/ 1 2) 2)) (- (+ (* 0.125 (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x)))))) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (+ (* 1/4 (/ (* (pow x 2) (exp (* 1/2 (+ (log (- 1.0)) (log x))))) (pow -1.0 2))) (* 0.5 (* x (exp (* 1/2 (+ (log (- 1.0)) (log x)))))))) (- (pow (/ 1 x) -1) (+ 0.5 (* 0.125 (/ 1 x)))) (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 2.792 * * [simplify]: iteration 0 : 223 enodes (cost 178 ) 2.797 * * [simplify]: iteration 1 : 765 enodes (cost 161 ) 2.816 * * [simplify]: iteration 2 : 4284 enodes (cost 140 ) 2.926 * * [simplify]: iteration 3 : 5003 enodes (cost 140 ) 2.927 * [simplify]: Simplified to: (* (log (* x (- x 1.0))) 1/2) (* (log (* x (- x 1.0))) 1/2) (* (log (* x (- x 1.0))) 1/2) 1/2 1/2 (pow (* x (- x 1.0)) (* (cbrt 1/2) (cbrt 1/2))) (pow (* x (- x 1.0)) (sqrt 1/2)) (pow (* x (- x 1.0)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ 1 (sqrt 2))) (* x (- x 1.0)) (pow (* x (- x 1.0)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ 1 (sqrt 2))) (* x (- x 1.0)) (pow (* x (- x 1.0)) (/ 1 (* (cbrt 2) (cbrt 2)))) (pow (* x (- x 1.0)) (/ 1 (sqrt 2))) (* x (- x 1.0)) (* x (- x 1.0)) (* x (- x 1.0)) (pow x 1/2) (pow (- x 1.0) 1/2) (* (log (* x (- x 1.0))) 1/2) (exp (pow (* x (- x 1.0)) 1/2)) (* (cbrt (pow (* x (- x 1.0)) 1/2)) (cbrt (pow (* x (- x 1.0)) 1/2))) (cbrt (pow (* x (- x 1.0)) 1/2)) (pow (* x (- x 1.0)) 3/2) (sqrt (pow (* x (- x 1.0)) 1/2)) (sqrt (pow (* x (- x 1.0)) 1/2)) (pow (* x (- x 1.0)) 1/4) (pow (* x (- x 1.0)) 1/4) (+ (* (* (pow x 1/2) (pow (- 1.0) 1/2)) (- (+ (* 0.125 (pow x 2)) 1) (* 0.5 x))) (/ (- (* 1/4 (pow x 2))) (* (/ -1.0 (pow (- 1.0) 1/2)) (/ -1.0 (pow x 1/2))))) (- (- x (* 0.125 (/ 1 x))) 0.5) (+ 0.5 (+ (pow (/ -1 x) -1) (* 0.125 (/ 1 x)))) 2.927 * * * [progress]: adding candidates to table 2.985 * [progress]: [Phase 3 of 3] Extracting. 2.985 * * [regime]: Finding splitpoints for: (# # #) 2.986 * * * [regime-changes]: Trying 1 branch expressions: (x) 2.987 * * * * [regimes]: Trying to branch on x from (# # #) 3.004 * * * [regime]: Found split indices: #